Question

Can i please know the answer. what is the volume?

Answer 1

Given:

Surface area = 4,362 yards

Length = 36 yard

Width = 21 yard

Height = c

To find:

Volume of the rectangular prism.

Solution:

Surface area formula:

`SA = 2(lw+wh+lh)`

Substitute the given values.

`4362 = 2(36*21 +21 * c+36 * c)`

`4362 = 2(756+21 c+36 c)`

`4362 = 2(756+57c)`

`4362 = 1512+114c`

Subtract 1512 from both sides.

`4362- 1512 = 1512+114c - 1512`

`2850=114c`

Divide by 114 on both sides, we get

25 = c

Height = 25

Volume = length × breadth × height

= 36 × 21 × 25

= 18900

Volume of rectangular prism is 18900 cubic yards.