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Martin is an artist who molds plaster into unique shapes. How much plaster can Martin fit into the mold shown? Cuboid with length as 1 ft, height as 2 ft and width as 1 ft. Is placed above the cuboid with length, height and width as 4 ft. A. 66 ft3 B. 80 ft3 C. 128 ft3 D. 256 ft3

1 Answer

2 votes

Answer:


Amount = 66ft^3

Explanation:

No attachment given, but the question can still be solved.

Given

Cuboid 1


Length = 1ft
Width = 1ft
Height = 2ft

Cuboid 2


Length = Width = Height = 4ft

Required

How much plaster can fit in

To do this, we simply calculate the volume of the shape

For cuboid 1


Volume = Length * Width * Height


V_1 = 1 * 1 * 2


V_1 = 2ft^3

For cuboid 2


V_2 = 4 * 4 * 4


V_2 = 64ft^3

Amount of plaster is then calculated as:


Amount = V_1 + V_2


Amount = 2ft^3 + 64ft^3


Amount = 66ft^3

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