Answer: The correct answer is option 4;
A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.
Step-by-step explanation: A simple check for the result of each set of dimensions would give the correct answer.
The volume of a right triangular prism is derived as follows;
Volume = 1/2 * b * h * l
Where, b is the base of the triangle, h is the vertical height of the triangle and l is the length of the prism.
Note that the area of the right triangle is denoted by 1/2 * b * h, and multiplying this result by the length of the prism gives the entire depth or volume of the triangular prism. Let us examine the dimensions one after the other;
(1) A triangular prism. The triangular base has a base of 7 metres and height of 9 metres. The height of the prism is 6 metres.
Volume = 1/2 * 7 * 9 * 6
Volume = 189 cubic metres
(2) A triangular prism. The triangular base has a base of 6 metres and height of 13 metres. The height of the prism is 5 metres.
Volume = 1/2 * 6 * 13 * 5
Volume = 165 cubic metres
(3) A triangular prism. The triangular base has a base of 11 metres and a height of 8 metres. The height of the prism is 8 metres.
Volume = 1/2 * 11 * 8 * 8
Volume = 352 cubic metres
(4) A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.
Volume = 1/2 * 10 * 9 * 8
Volume = 360 cubic metres