Question

How many 1-by-1-by-1-inch cubes fit inside of a rectangular prism that has a height of 4 in, width is 10 in. , and a height of 3 in.

Answer 1

The volume of the rectangular prism is given as

`\text{Volume(V) = Length x width x height}`

Length = 3 in

width = 10in

height = 4in

`\text{volume of the prism = 4 }*10*3=120in^3`

Volume of the 1-by-1-by-1 inch cube is

`\text{volume = length}^3`

Length =1 in

`\text{Volume of the cube = (1in)}^3=1inch^3`

The number of cubes that can fit inside the rectangular prism is hence given by

`\frac{volume\text{ of rectangular prism}}{\text{volume of cube}}`
`=(120in^3)/(1in^3)=\text{ 120 cubes}`

The answer is 120 cubes

B) The area of the prism = Length x width

Area = 3 x 10 = 30 square inch

so you will need 30 square inch of paper to cover the prism