A rectangular solid has a square base, with each side of the base measuring $4$ meters. If the volume of the solid is $112$ cubic meters, what is the surface area of the solid ?

1,500 $

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1,700$

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2,200$

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3,000 $

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Solution

The correct option is C 1,700$
$1,700: To find the surface area of a rectangular solid, sum the individual areas of all six faces:
$\begin{matrix} A r e a o f O n e & T o t a l A r e a o f T w o f a c e & I d e n t i c a l F a c e s T o p a n d B o t t o m : & 5 \times 4 = 20 & \to & 20 \times 2 = 40 S i d e 1 : & 5 \times 25 = 1258 & \to & 12.5 \times 2 = 25 S i d e 2 : & 4 \times 2.5 = 10 & \to & 10 \times 2 = 10 A l l 6 f a c e s & \to & 40 + 25 + 20 = 85 f t^{2} \end{matrix}$
Thus, covering the entire tank will cost $85 \times$ 20 $w h i c h e q u a l s$ $1, 700$ .

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A rectangular solid has a square base, with each side of the base measuring 4 meters. If the volume of the solid is 112 cubic meters, what is the surface area of the solid ?

A rectangular solid has a square base, with each side of the base measuring $4$ meters. If the volume of the solid is $112$ cubic meters, what is the surface area of the solid ?