Question

Ray had a block of wood in the shape of a rectangular prism. The block and it's dimensions are shown below:

Answer 1

`(a)\ Area = 24in^2`

`(b)\ Area = 60in^2`

Explanation:

Given

See attachment for the dimension of the block

Solving (a): Area of the front face

From the attachment, the front face has the following dimension.

`Length = 4in`

`Width = 6in`

The area is calculated as:

`Area = Length *Width`

`Area = 4in * 6in`

`Area = 24in^2`

Solving (b): Area of the top and bottom faces

The top and bottom faces have the same dimension

From the attachment, the top face has the following dimension.

`Length = 5in`

`Width = 6in`

The area of the top is calculated as:

`Area = Length *Width`

`A_1 = 5in * 6in`

`A_1 = 30in^2`

The area of the top and the bottom faces is:

`Area = 2 *A_1` ---- because the top and bottom faces have the same dimension

`Area = 2 *30in^2`

`Area = 60in^2`