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11.02.2022

If a rectangular prism has a length, width ,and height of 3/8 centimeter,5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is ?

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10.01.2023, solved by verified expert

Bhaskar Singh Bora

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Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

=105/512 cm3

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Mathematics

If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , then the volume of the prism is cubic centimeter

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P Answered by Master

The volume of the prism is cubic $\frac{105}{512}$ centimeters.Step-by-step explanation:Given that a rectangular prism has the following dimensions: $length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}$ We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by V=w*h *l.

Therefore, the volume of the given prism will be $V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.$ Thus, the volume of the prism is $\frac{105}{512}$ cubic centimetres.

Mathematics

If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , then the volume of the prism is cubic centimeter

Step-by-step answer

P Answered by Master

Mathematics

If a rectangular prism has a length, width and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is __ cubic centimeter

Step-by-step answer

P Answered by Master

105/512

Step-by-step explanation:

To find the volume of a rectangular prism, you do length x width x height. The length is 3/8, the width is 5/8, and the height is 7/8, so

3/8 x 5/8 x 7/8=105/512.

Mathematics

If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is cubic centimeter.

Step-by-step answer

P Answered by Master

The volume of the prism is $\dfrac{105}{512}$ cubic centimetres.

Step-by-step explanation: Given that a rectangular prism has the following dimensions:

$length,~l=\dfrac{3}{8}~\textup{cm},\\\\width,~w=\dfrac{5}{8}~\textup{cm},\\\\height,~h=\dfrac{7}{8}~\textup{cm}.$

We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by

$V=w\times h\times l.$

Therefore, the volume of the given prism will be

$V\\\\=w\times h\times l\\\\=\dfrac{3}{8}\times \dfrac{5}{8}\times \dfrac{7}{8}\\\\=\dfrac{105}{512}~\textup{cm}^3.$

Thus, the volume of the prism is $\dfrac{105}{512}$ cubic centimetres.

Mathematics

If a rectangular prism has a length width and hight or 3/8 centimeters 5/8 centimeters 7/8 centimeters then the volume of the prism is cubic centi eters

Step-by-step answer

P Answered by PhD

Volume of the rectangular prism = 0.2050 cubic centimeters

Step-by-step explanation:

Explanation:-

Step(l):-

The length is the longest side of the flat surface of the rectangle on the top or bottom of the rectangular prism.

In given data we can choose the length of rectangular prism

L = 7/8 centimeters

Step(ll):-

The Width is the shorter side of the flat surface of the rectangle prism

In given data W = 5/8 centimeters

Step(lll):-

The height is the part of the rectangular prism that rises up

height = 3/8 centimeters

Step(lV)

Volume of the rectangular prism

V = L × W × H

V = 7/8 ×5/8 × 3/8

V = 0.2050 cubic centimeters

Conclusion:-

Volume of the rectangular prism = 0.2050 cubic centimeters

If a rectangular prism has a length width and hight or 3/8 centimeters 5/8 centimeters 7/8 centimete

Mathematics

A rectangular prism with a length of 7 centimeters, width of 5 centimeters, and height of 8 centimeters. A rectangular prism with a length of 10 centimeters, width of 7 centimeters, and height of 4 centimeters. What is the volume of the composite figure? 1. Volume of prism 1 V = Bh V = (5cm)(7cm)(8cm) 2. Volume of prism 2 V = Bh V = (10cm)(7cm)(4cm) 3. Total volume = cm3

Step-by-step answer

P Answered by PhD

The volume of the composite figure is $420\text{ cm}^3$ .

Step-by-step explanation:

We know that the volume of a rectanbgular prism is given by :-

Volume = length x width x height

Given, for prism 1 , we have

length of 7 centimeters, width of 5 centimeters, and height of 8 centimeters

Volume of prism 1= $(7)(5)(8)=280\text{ cm}^3$

Given, for prism 2 , we have

length of 10 centimeters, width of 7 centimeters, and height of 4 centimeters.

Volume of prism 2= $(10)(7)(4)=280\text{ cm}^3$

Now , the volume of the composite figure = Volume of prism 1+ Volume of prism 2

$=210\text{ cm}^3+210\text{ cm}^3=420\text{ cm}^3$

Hence, the volume of the composite figure is $420\text{ cm}^3$ .

Mathematics

Step-by-step answer

P Answered by PhD

The volume of the composite figure is $420\text{ cm}^3$ .

Step-by-step explanation:

We know that the volume of a rectanbgular prism is given by :-

Volume = length x width x height

Given, for prism 1 , we have

length of 7 centimeters, width of 5 centimeters, and height of 8 centimeters

Volume of prism 1= $(7)(5)(8)=280\text{ cm}^3$

Given, for prism 2 , we have

length of 10 centimeters, width of 7 centimeters, and height of 4 centimeters.

Volume of prism 2= $(10)(7)(4)=280\text{ cm}^3$

Now , the volume of the composite figure = Volume of prism 1+ Volume of prism 2

$=210\text{ cm}^3+210\text{ cm}^3=420\text{ cm}^3$

Hence, the volume of the composite figure is $420\text{ cm}^3$ .

Mathematics

Abrick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. the brick has a density of 2.7 grams per cubic centimeter. find the mass of the brick to the nearest gram. grams

Step-by-step answer

P Answered by PhD

The mass of brick is 2478 gram

Solution:

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

The volume of rectangular prism is given as:

$volume = length \times width \times height$

$volume = 8 \times 3.5 \times 2\\\\volume = 56$

Thus volume of brick is 56 cubic inches

Convert inches to centimeter

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of 2.7 grams per cubic centimeter

Density = 2.7 grams

The mass of brick is given by formula:

$mass = density \times volume$

Substituting the values we get,

$mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478$

Thus mass of brick is 2478 gram

Mathematics

Step-by-step answer

P Answered by PhD

The mass of brick is 2478 gram

Solution:

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

The volume of rectangular prism is given as:

$volume = length \times width \times height$

$volume = 8 \times 3.5 \times 2\\\\volume = 56$

Thus volume of brick is 56 cubic inches

Convert inches to centimeter

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of 2.7 grams per cubic centimeter

Density = 2.7 grams

The mass of brick is given by formula:

$mass = density \times volume$

Substituting the values we get,

$mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478$

Thus mass of brick is 2478 gram

Mathematics

What is the volume of a rectangular prism with a length of 8 1/2 centimeters, width of 9 1/3 centimeters, and a height of 12 2/5 centimeters? 30 7/30 cm³ 79 1/3 cm³ 599 7/15 cm³ 983 11/15 cm³

Step-by-step answer

P Answered by Specialist

V(rectangular prism) = Legth * Width * Height

V(rectangular prism) = (8 1/2)*(9 1/3)*(12 2/5) = (17/6) * (28/3) * (62/5) =

=(17*14*62)/(3*3*5)= 14756/15 = 983 11/15 (cm³)

Answer : D. 983 11/15 (cm³)

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If a rectangular prism has a length, width ,and height of 3/8 centimeter,5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is ?

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