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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

Respuesta :

MrRoyal

Answer:

[tex]Amount = 66ft^3[/tex]

Step-by-step explanation:

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

Given

Cuboid 1

[tex]Length = 1ft[/tex]      [tex]Width = 1ft[/tex]      [tex]Height = 2ft[/tex]

Cuboid 2

[tex]Length = Width = Height = 4ft[/tex]

Required

How much plaster can fit in

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

For cuboid 1

[tex]Volume = Length * Width * Height[/tex]

[tex]V_1 = 1 * 1 * 2[/tex]

[tex]V_1 = 2ft^3[/tex]

For cuboid 2

[tex]V_2 = 4 * 4 * 4[/tex]

[tex]V_2 = 64ft^3[/tex]

Amount of plaster is then calculated as:

[tex]Amount = V_1 + V_2[/tex]

[tex]Amount = 2ft^3 + 64ft^3[/tex]

[tex]Amount = 66ft^3[/tex]

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