Question

question
toms toy box is shown below. the toy box is shaped like a rectangular prism. it has 5 wooden faces and is open on the top.
what is the total surface area of the 5 faces of the toy box that are wooden?
standard(s)

Explanation:

Step1: Identify surface area components

The box has 5 faces: 1 base, 2 long sides, 2 short sides.

Step2: Calculate area of the base

$\text{Base Area} = 20 \times 10 = 200$ sq in

Step3: Calculate area of long sides

$\text{Long Side Area} = 2 \times (20 \times 15) = 2 \times 300 = 600$ sq in

Step4: Calculate area of short sides

$\text{Short Side Area} = 2 \times (10 \times 15) = 2 \times 150 = 300$ sq in

Step5: Sum all 5 face areas

$\text{Total Surface Area} = 200 + 600 + 300$

Answer:

1100 square inches