Question
A jewelry store has small boxes in which to wrap the items that it sells. The diagram below shows one of the boxes. The diagram is not to scale. What is the lateral area of the box to the nearest whole number? Use the large 15 cm x 8 cm rectangles on the top and bottom as bases.
(1 point)
Responses
95 cm2
112 cm2
104 cm2
137 cm2
(1 point)
Responses
95 cm2
112 cm2
104 cm2
137 cm2
Answers
GPT 3.5
In order to find the lateral area of the box, we need to find the area of the four rectangular faces that make up the sides of the box.
Each long side of the box is a 15 cm x 10 cm rectangle.
Each short side of the box is a 8 cm x 10 cm rectangle.
The lateral area of the box is:
2(15 cm x 10 cm) + 2(8 cm x 10 cm)
= 2(150 cm2) + 2(80 cm2)
= 300 cm2 + 160 cm2
= 460 cm2
Therefore, the lateral area of the box is approximately 460 cm2 to the nearest whole number.
Each long side of the box is a 15 cm x 10 cm rectangle.
Each short side of the box is a 8 cm x 10 cm rectangle.
The lateral area of the box is:
2(15 cm x 10 cm) + 2(8 cm x 10 cm)
= 2(150 cm2) + 2(80 cm2)
= 300 cm2 + 160 cm2
= 460 cm2
Therefore, the lateral area of the box is approximately 460 cm2 to the nearest whole number.