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 112 cm22112 cm2 137 cm22137 cm2 104 cm22104 cm2 95 cm2

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To find the lateral area of the box, we need to find the area of the four sides excluding the top and bottom.

Since the box is rectangular, we can see that the height of the box is 5 cm (10 cm total height - 2 cm top and bottom thickness). The length of the sides is 15 cm and the width is 8 cm.

The lateral area of the box can be calculated as follows:
2 * (15 cm * 5 cm) + 2 * (8 cm * 5 cm)
= 2 * (75 cm) + 2 * (40 cm)
= 150 cm + 80 cm
= 230 cm^2

Therefore, the lateral area of the box is 230 cm^2.