Niko has an outdoor play tent in the form of a regular triangular pyramid, covered in fabric on all four sides. The surface area of the tent is 100 ft.?, the base is 6 ft., and the slant height is 8 ft. What is the height of the base to the nearest tenth? (1 point)
372 ft
6.5 ft
9.3 ft
57.3
9.3 ft
a right rectangular prism has an area of 20 square units and a height of 3 units. what is the volume?
The volume of a rectangular prism is found by multiplying the area of the base by the height. Given that the area is 20 square units and the height is 3 units:
Volume = area x height = 20 units² x 3 units = 60 cubic units.
and then what is the width?
To find the width we need to know the length of the prism, since the area of the base (which is a rectangle or a square) of a rectangular prism is found by multiplying the length times the width (Area = length * width). If we knew the length, then we would be able to find the width by re-arranging the formula to Width = Area/length. But given the information, we cannot find the width.
A gift box is being constructed in the shape of a right rectangular prism. The base is 15 inches squared and the height is 5 inches. What will the volume of the gift box be? (1 point)
The volume of a rectangular prism is computed by multiplying the area of the base by the height. Given that the area of the base is 15 square inches and the height is 5 inches:
Volume = area x height = 15 square inches x 5 inches = 75 cubic inches.