Q:

A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number. Use the large 14 x 7 cm rectangles on the top and bottom as the bases.35cm^2; 364cm^270cm^2; 364cm^235cm^2; 266cm^270cm^2; 266cm^2

Accepted Solution

A:
Given that length = 14 cm, width = 7 cm, and height(which was not mentioned in the question) is 1.66 cm, we are tasked to find the lateral area and the surface area of the box. 
To  find the lateral area, we need to add the area of the sides of the 3D figure.
L = 2(1.66)(14) + 2(1.66)(7)
=46.48 + 23.34
=69.72  ≈ 70 cm^2
To find the surface area, 
SA = 2(1.66)(14) + 2(1.66)(7) + 2(14)(7)
=46.48 + 23.24 + 196
=265.72 ≈ 266 cm ^2
The answers are 70cm^2 and 266cm^2.