Question
Caleb 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. What is the surface area in square centimeters of the toy box?
Answers
GPT 3.5
To find the surface area of the toy box, we need to find the area of each face and then sum them up.
From the net of the toy box, we can see that the dimensions of the box are:
Length = 5 cm
Width = 4 cm
Height = 3 cm
The toy box has 6 faces:
1. Top face: L x W = 5 cm x 4 cm = 20 cm²
2. Bottom face: L x W = 5 cm x 4 cm = 20 cm²
3. Front face: L x H = 5 cm x 3 cm = 15 cm²
4. Back face: L x H = 5 cm x 3 cm = 15 cm²
5. Left face: W x H = 4 cm x 3 cm = 12 cm²
6. Right face: W x H = 4 cm x 3 cm = 12 cm²
Total surface area = 20 cm² + 20 cm² + 15 cm² + 15 cm² + 12 cm² + 12 cm²
Total surface area = 94 cm²
Therefore, the surface area of the toy box is 94 square centimeters.
From the net of the toy box, we can see that the dimensions of the box are:
Length = 5 cm
Width = 4 cm
Height = 3 cm
The toy box has 6 faces:
1. Top face: L x W = 5 cm x 4 cm = 20 cm²
2. Bottom face: L x W = 5 cm x 4 cm = 20 cm²
3. Front face: L x H = 5 cm x 3 cm = 15 cm²
4. Back face: L x H = 5 cm x 3 cm = 15 cm²
5. Left face: W x H = 4 cm x 3 cm = 12 cm²
6. Right face: W x H = 4 cm x 3 cm = 12 cm²
Total surface area = 20 cm² + 20 cm² + 15 cm² + 15 cm² + 12 cm² + 12 cm²
Total surface area = 94 cm²
Therefore, the surface area of the toy box is 94 square centimeters.