To find the surface area of a square prism, we need to find the area of each face and sum them up.
1. The area of each square base (base area) can be found by squaring the length of one of its edges. In this case, the base edge is given to be 1.5 cm, so the base area is 1.5^2 = 2.25 square cm.
2. The lateral faces of the prism are rectangles, each with a length equal to the base edge (1.5 cm) and a width equal to the slant height (4 cm). The area of each lateral face is the product of the length and width, which is 1.5 cm * 4 cm = 6 square cm.
3. There are two identical lateral faces, so their combined area is 2 * 6 = 12 square cm.
Finally, we can add up the areas of the base and lateral faces to find the total surface area:
2.25 + 12 = 14.25 square cm.
Therefore, the surface area of the square prism is approximately 14.25 square cm (rounded to the nearest hundredth).
What is the surface area of a square prism where the base Edge is 1.5 cm and the slant height is 4 cm round your answer to the nearest hundredth
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