Three cubes that have side lengths of 5 cm are joined end to end. What is the surface area of the resulting shape?a175 cm2 b225 cm2c300 cm2 d350 cm2

To solve this problem, we first need to understand the shape that is formed when three cubes are joined end to end. The resulting shape is a cuboid (or a rectangular prism) with dimensions 5 cm x 5 cm x 15 cm.

The surface area of a cuboid is given by the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

In this case, l = 5 cm, w = 5 cm, and h = 15 cm.

Substituting these values into the formula, we get:

Surface area = 2(5 cm * 5 cm) + 2(5 cm * 15 cm) + 2(5 cm * 15 cm) = 2(25 cm^2) + 2(75 cm^2) + 2(75 cm^2) = 50 cm^2 + 150 cm^2 + 150 cm^2 = 350 cm^2

So, the surface area of the resulting shape is 350 cm^2. Therefore, the answer is (d) 350 cm^2.