Question

question
owen built a toy box in the shape of a rectangular prism with an open top. the diagram below shows the toy box and a net of the toy box.
toy box
net of toy box
5 in
6 in
8 in
what is the surface area, in square inches, of the toy box?
answer

Explanation:

Step1: Identify base and side - areas

The base has dimensions 8 in by 6 in. Sides have pairs with dimensions 8 in by 5 in and 6 in by 5 in.

Step2: Calculate base area

The area of the base $A_{base}=8\times6 = 48$ square - inches.

Step3: Calculate area of 8x5 sides

The area of the two 8 - in by 5 - in sides $A_{1}=2\times(8\times5)=80$ square - inches.

Step4: Calculate area of 6x5 sides

The area of the two 6 - in by 5 - in sides $A_{2}=2\times(6\times5)=60$ square - inches.

Step5: Calculate total surface area

The total surface area $A = A_{base}+A_{1}+A_{2}=48 + 80+60=188$ square - inches.

Answer:

188