Section 1
The radius of a circle is 4 cm, what is the area to the nearest tenths?
50.2 cm2
Find the area of a right-angled triangle with a base of 7 cm and a height of 8 cm.
28 cm2
One side of a rectangle is 7 inches and another is 9 inches. What is the area of the rectangle in inches?
63 square inches
Find the area of a square clipboard whose side measures 120 cm.
14400 cm2
One side of a rectangle is 7 inches and another is 9 inches. What is the perimeter of the rectangle in inches?
32 inches
What is the diameter of a circle if its area is 49(pi) square feet?
14 feet
The area of an isosceles right triangle is 32 square units. What is the base of the triangle?
8 units
There is a regtangular fence surrounding a park. The perimeter of the fence is 16ft. What is the width of the fence if the length is 5ft?
3 ft
Find the radius of the circle if its circumference is 50 cm. Express your answer in terms of pi.
25/(pi) cm
What is the circumference of the circle with diameter 4 cm? Express the answer to the nearest hundredth.
12.57 cm
What is the volume of a cube whose edge is 6 cm?
216 cm3
A cylinder has a height of 7 cm and a base with a diameter of 10 cm. Determine the volume, in cubic centimeters, of the cylinder in terms of π
122.5(pi) cubic centimeters
A cylinder has a circular base with a radius of 3 units and a height of 7 units. What is the volume of the cylinder in cubic units in terms of pi?
A block of wood is 5 inches long, 2 inches wide, and 3 inches high. What is the volume of this block of wood?
30 inches3
A cylinder has a diameter of 10 inches and a height of 2.3 inches. What is the volume of this cylinder, to the nearest tenth of a cubic inch?
180.6 cubic inch
Lenny made a cube in technology class. Each edge measured 1.5 cm. What is the volume of the cube in cubic centimeters?
3.375 centimeters3
A right prism has a square base with an area of 12 square meters. The volume of the prism is 84 cubic meters. Determine and state the height of the prism, in meters.
7 meters
A box in the shape of a cube has a volume of 64 cubic inches. What is the length of a side of the box?
4 inches
The volume of a rectangular prism is 144 cubic inches. The height of the prism is 8 inches. Which measurements, in inches, could be the dimensions of the base?
1) 3.3 by 5.5
2) 2.5 by 7.2
3) 12 by 8
4) 9 by 9
2) 2.5 by 7.2
What is the volume, in cubic centimeters, of a cylinder that has a height of 15 cm and a diameter of 12 cm? Express your answer in terms of pi.
540(pi) cm3
The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm. Find the radius of the cylinder to the nearest tenth of a centimeter.
22.4 cm
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?
12
A thermos in the shape of a cylinder is filled to 1 inch from the top of the cylinder with coffee. The height of the cylinder is 12 inches and its radius is 2.5 inches. State, to the nearest hundredth of a cubic inch, the volume of coffee in the thermos.
215.98 cubic inches
The base of a right pentagonal prism has an area of 20 square inches. If the prism has an altitude of 8 inches, determine and state the volume of the prism, in cubic inches.
160 cubic inches
Mike buys his ice cream packed in a rectangular prism-shaped carton, while Carol buys hers in a cylindrical-shaped carton. The dimensions of the prism are 5 inches by 3.5 inches by 7 inches. The cylinder has a diameter of 5 inches and a height of 7 inches. Which container holds more ice cream? Justify your answer. Determine, to the nearest tenth of a cubic inch, how much more ice cream the larger container holds.
Carol’s container holds more ice cream becasue Carol's container is 14.9 cubic inches larger than Mike's container.
VM = 5 × 3.5 × 7 = 122.5. VC = π × 2.52 × 7 ≈ 137.4. 137.4 − 122.5 = 14.9