I am an older student preparing for a Math competency exam. I have three geometry questions I cannot figure out, and am hoping someone can walk me through them/explain how they are solved.
First:
A rectangular prism has a length of 9 units and a width of 4 units. A triangular prism has a base area of 36 square units. If the two prisms have equal volumes, which of the following statements must be true of the two prisms?
Correct Answer: They have the same height.
Second:
A rectangle section of a park has a length l and a width w. The semicircular sections at each of its ends are made of concrete and the shaded portion is planted with grass. Which of the following formulas represents A, the area of the grassy region?
Correct Answer: lw- (pi x w)2/4
Third:
A tent in the shape of a square pyramid has a floor that measures 6 feet on each side. The slant height of the tent is 8 ft. How much material is needed to make the tent including the floor?
Correct Answer: 132 square feet
Any help would be GREATLY APPRECIATED!!!!!
First:
A rectangular prism has a length of 9 units and a width of 4 units. A triangular prism has a base area of 36 square units. If the two prisms have equal volumes, which of the following statements must be true of the two prisms?
Correct Answer: They have the same height.
Second:
A rectangle section of a park has a length l and a width w. The semicircular sections at each of its ends are made of concrete and the shaded portion is planted with grass. Which of the following formulas represents A, the area of the grassy region?
Correct Answer: lw- (pi x w)2/4
Third:
A tent in the shape of a square pyramid has a floor that measures 6 feet on each side. The slant height of the tent is 8 ft. How much material is needed to make the tent including the floor?
Correct Answer: 132 square feet
Any help would be GREATLY APPRECIATED!!!!!