Question

What is the answer pls

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.

$4362 = 2(36\times21 +21 \times c+36 \times c)$

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

$4362 = 2(756+57c)$

$4362 = 1512+114c$

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.