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:
[tex]SA = 2(lw+wh+lh)[/tex]
Substitute the given values.
[tex]4362 = 2(36\times21 +21 \times c+36 \times c)[/tex]
[tex]4362 = 2(756+21 c+36 c)[/tex]
[tex]4362 = 2(756+57c)[/tex]
[tex]4362 = 1512+114c[/tex]
Subtract 1512 from both sides.
[tex]4362- 1512 = 1512+114c - 1512[/tex]
[tex]2850=114c[/tex]
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.
