16.05.2021

A net of a building block is shown below. What is the total surface area of the building block

. 4

Faq

Mathematics
Step-by-step answer
P Answered by PhD
Option  D) 294 sq cm is correct∴ the surface area of the rectangular pyramid is 294 sq cm

Step-by-step explanation:

First we have to split the net into 4 triangles and 1 rectangle

Given a = 12 cm ,b =  6 cm and d = 13 cm

To find the surface area of the rectangular pyramid:

Now find the area of the rectangle base

Rectangle base area=b\times a

= 6\times 12

= 72 sq. cm

∴ Rectangle base area=72 sq cm

Now to find the area of the triangle on the left

Left triangle=\frac{1}{2}(b)(d)

=\frac{1}{2}(6)(13)

= 39 sq cm

∴ Left triangle=39 sq cm

Since all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left and right triangles= 2(39)

=78 sq cm

∴ Area of left and right triangles=78 sq cm

Find the area of the triangle on the bottom

Bottom triangle area=\frac{1}{2}(a)(a)

=\frac{1}{2}(12)(12)

= 72 sq cm

∴ Bottom triangle area=72 sq cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles=2 (72)

= 144 sq cm

∴ Area of top & bottom triangles= 144 sq cm

Finally add the area of the 4 triangles to the area of the rectangular base we get

=72 + 78 + 144

= 294 sq cm

∴ the surface area of the rectangular pyramid is 294 sq cm∴ option D) 294 sq cm is correct.
Mathematics
Step-by-step answer
P Answered by PhD

the answer is D: 294 sq. cm

Step-by-step explanation:

first you want to split the net into 4 triangles and 1 rectangle

a = 12 cm

b =  6 cm

d = 13 cm

calculate the surface area of the pyramid...

1st find the area of the rectangle base

Rectangle base area

b x a = (6 cm) (12 cm)

= 72 sq. cm

next find the area of the triangle on the left

Left triangle

1/2(b)(d) = 1/2 (6 cm)(13 cm)

= 1/2 (78 sq cm)

= 39 sq. cm

Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left & right triangles

= 2 (39 sq. cm)

= 78 sq. cm

Find the area of the triangle on the bottom

Bottom triangle area = 1/2 (a)(a)

= 1/2 (12 cm) (12 cm)

= 1/2 (144 sq. cm)

= 72 sq. cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles

2 (72 sq. cm) = 144 sq. cm

Finally...add the area of the 4 triangles to the area of the rectangular base

72 + 78 + 144 = 294 sq. cm

Mathematics
Step-by-step answer
P Answered by PhD
Option  D) 294 sq cm is correct∴ the surface area of the rectangular pyramid is 294 sq cm

Step-by-step explanation:

First we have to split the net into 4 triangles and 1 rectangle

Given a = 12 cm ,b =  6 cm and d = 13 cm

To find the surface area of the rectangular pyramid:

Now find the area of the rectangle base

Rectangle base area=b\times a

= 6\times 12

= 72 sq. cm

∴ Rectangle base area=72 sq cm

Now to find the area of the triangle on the left

Left triangle=\frac{1}{2}(b)(d)

=\frac{1}{2}(6)(13)

= 39 sq cm

∴ Left triangle=39 sq cm

Since all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left and right triangles= 2(39)

=78 sq cm

∴ Area of left and right triangles=78 sq cm

Find the area of the triangle on the bottom

Bottom triangle area=\frac{1}{2}(a)(a)

=\frac{1}{2}(12)(12)

= 72 sq cm

∴ Bottom triangle area=72 sq cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles=2 (72)

= 144 sq cm

∴ Area of top & bottom triangles= 144 sq cm

Finally add the area of the 4 triangles to the area of the rectangular base we get

=72 + 78 + 144

= 294 sq cm

∴ the surface area of the rectangular pyramid is 294 sq cm∴ option D) 294 sq cm is correct.
Mathematics
Step-by-step answer
P Answered by PhD

the answer is D: 294 sq. cm

Step-by-step explanation:

first you want to split the net into 4 triangles and 1 rectangle

a = 12 cm

b =  6 cm

d = 13 cm

calculate the surface area of the pyramid...

1st find the area of the rectangle base

Rectangle base area

b x a = (6 cm) (12 cm)

= 72 sq. cm

next find the area of the triangle on the left

Left triangle

1/2(b)(d) = 1/2 (6 cm)(13 cm)

= 1/2 (78 sq cm)

= 39 sq. cm

Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left & right triangles

= 2 (39 sq. cm)

= 78 sq. cm

Find the area of the triangle on the bottom

Bottom triangle area = 1/2 (a)(a)

= 1/2 (12 cm) (12 cm)

= 1/2 (144 sq. cm)

= 72 sq. cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles

2 (72 sq. cm) = 144 sq. cm

Finally...add the area of the 4 triangles to the area of the rectangular base

72 + 78 + 144 = 294 sq. cm

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Try asking the Studen AI a question.

It will provide an instant answer!

FREE