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Raymond used 36 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished prism had a total of 8 layers. What is the volume of Raymond's prism in cubic inches?

Respuesta :

MrRoyal

Answer:

[tex]Volume = 288in^3[/tex]

Step-by-step explanation:

Given

[tex]Base\ Cubes = 36[/tex]

[tex]Layers = 8[/tex]

Required

The volume of the prism

The number of base cubes represents the base area and the number of layers represents the height of the prism.

So, the volume is calculated as:

[tex]Volume = Base\ Cubes * Layers[/tex] i.e Base Area * Heights

[tex]Volume = 36 * 8[/tex]

[tex]Volume = 36in^2 * 8in[/tex]

[tex]Volume = 288in^3[/tex]