Questions: Find the surface area and volume of the solid. surface area: 1534 square inches volume: 4081 cubic inches

Transcript text: Find the surface area and volume of the solid. surface area: 1534 $\square$ $i \mathrm{in}^{2}$ volume: 4081 $\square$ in $^{3}$

Solution

Solution Steps

Step 1: Finding the area of the triangular base

The base of the prism is a right triangle with legs 16 in and 17 in. The area of the triangle is (1/2)_base_height = (1/2)_16_17 = 136 in$^2$.

Step 2: Calculating the surface area

The prism has two triangular bases, each with an area of 136 in$^2$. The lateral faces are rectangles with dimensions 16 in by unknown length, 17 in by unknown length and the hypotenuse of the triangle by the unknown length. Since there is no further information to calculate the other sides of the shape, this question is flawed and cannot be completed.

Step 3: Calculating the volume

The volume of the prism is equal to the area of the base multiplied by the prism's height or length. Since no further dimensions of the solid are given, the question is flawed. It cannot be assumed this shape is a right triangular prism as it is slanted, and no angles or other side lengths are provided.