A rectangular prism is 3 inches long, 5 inches wide, and has a height of 6 inches. What is its surface area? 63 in 2

90 in 2

120 in 2

126 in 2

D) 126 in²

Step-by-step explanation:

A rectangular prism is 3 inches long, 5 inches wide, and has a height of 6 inches. What is its surface area?

The formula for the surface area of a rectangular prism =

A=2(wl+hl+hw)

Where

W= Width = 5in

H = Height = 6 in

l = Length = 3 in

Surface area =

2(5 × 3 + 6 × 3 + 5 × 6) square inches

2(15 + 18 + 30) square inches

2(63) square inches

= 126 square inches (in²)

Option D is correct

the answer is D.126

Step-by-step explanation:

Use the formula A=2(wl+hl+hw)

The whole castle can hold 63 in² of sand.

Step-by-step explanation:

First, find the volume of the first mold.

V = whl          Substitute

V = (6)(2)(4)    Multiply

V = 48 in²

Now, find the volume of the second mold.

V = whl          Substitute

V = (5)(1)(3)    Multiply

V = 15 in²

Add together both volumes to find the volume of the whole castle.

48 + 15 = 63 in²

The whole castle can hold 63 in² of sand.

Step-by-step explanation:

First, find the volume of the first mold.

V = whl          Substitute

V = (6)(2)(4)    Multiply

V = 48 in²

Now, find the volume of the second mold.

V = whl          Substitute

V = (5)(1)(3)    Multiply

V = 15 in²

Add together both volumes to find the volume of the whole castle.

48 + 15 = 63 in²

the height of bag b is 7

Step-by-step explanation:

first, find the volume of bag a.

volume formula:

length * width * height = volume

length = 4

width = 3.5

height = 6

substitute the values into the formula

4 * 3.5 * 6 = volume

84 = volume

the volume of bag A is 84

next, find the height of bag b

volume formula:

length * width * height.

length = 8

width = 3

volume = 168 (84 * 2)

8 * 3 * h = 168

24h = 168

24h/24 = 168/24

h = 168/24

h = 7

the height of bag B is 7