Question 18

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waecmaths question: 

A cube and a cuboid have the same area. The volume of the cube is 64cm3. While that of the cuboid is 80cm3. Find the height of the cuboid

Option A: 

2cm

Option B: 

3cm

Option C: 

5cm

Option D: 

6cm

waecmaths solution: 

$\begin{align}  & Volume\text{ of }cube={{l}^{3}}=64c{{m}^{3}} \\ & l=4cm \\ & \text{Volume of the cuboid}=lbh=80cm \\ & \text{Since the cube and cuboid has the same base area} \\ & \text{Base area of the cube }A={{l}^{2}}={{4}^{2}}c{{m}^{2}}=16c{{m}^{2}} \\ & Volume\text{ of the cuboid }=A\times h=80c{{m}^{3}} \\ & 16c{{m}^{2}}\times h=80c{{m}^{3}} \\ & h=5cm \\\end{align}$

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