Give each solid a geometric name. Be as precise as you can.
Each set of two-dimensional shapes is the complete list of faces from a particular solid. Match each set of shapes with the solid they came from.
These 3 congruent square pyramids can be assembled into a cube with side length 1 foot. What is the volume of each pyramid?
A prism has a height of 4 inches and a volume of 120 cubic inches. Select all figures that could be the base for this prism.
a 5 inch by 6 inch rectangle
a square with side length 5 inches
a circle with radius 5 inches
a star-shaped base with area 30 square inches
a right triangle with legs 5 inches and 12 inches
This prism has a right triangle for a base. The volume of the prism is 54 cubic units. What is the value of \(h\)?
This solid has curved sides. All cross sections parallel to the base are squares measuring 3 units on each side. The height from the base to the top is 5 units. What is the volume of this solid?
Find the volume of each solid.
- a cylinder with radius 3 inches and height 2 inches
- a hexagonal prism whose base has area 4.5 square centimeters and whose height is 7 centimeters
- a prism 5 feet tall whose base is a right triangle with leg lengths \(\frac32\) feet and 9 feet
A circle with area \(\pi\) square units is dilated using a scale factor of 5. What is the area of the dilated circle?