Volume Worksheet

Volume Worksheet Reference Table Rectangular Solid V=lwh

Sphere V = 4/3 × pi ×r3.

Cylinder

Sample problems

Find the Volume of the Sphere

1) Find the Volume 2. What is the volume of a right rectangular prism that is 3 inches by 5 inches by 8 inches. A. 158 in3 B. 55 in3 C. 120 in3 D. 144 in3

3) A cardboard box has length x – 2, width x + 1, 4) A box in the shape of a cube has a volume and height 2x. of 64 cubic inches. What is the length of a a Write an expression, in terms of x, to represent side of the box? the volume of the box. (1) 21.3 in (3) 8 in b If x = 8 centimeters, what is the number of cubic (2) 16 in (4) 4 in centimeters in the volume of the box?

5) A fish tank with a rectangular base has a volume 6) Find the volume of this cylinder. of 3,360 cubic inches. The length and width of the tank are 14 inches and 12 inches, respectively. Find the height, in inches, of the tank.

7) What is the scale factor between the large 8) Find the volume of the cylinder cylinder on the left and the similar cylinder on the right?

A. 8:15 B. 4:3 C. 10:3 D. 16:9 9) Soda is sold in aluminum cans that measure 6 10) Find the volume of the cone inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can?

11) Find the volume of the cone to the nearest tenth. 12) Find the volume of the cone. (Round to the nearest tenth.)

A. 20.9 ft3 B. 83.8 ft3 C. 50.3 ft3 D. 12.6 ft3

A. 29.5 cu. units B. 75.4 cu. units C. 38.1 cu. units D. 15.4 cu. units

13) Find the volume to the nearest tenth of a sphere 14) Tamika has a hard rubber ball whose with a diameter of 8 centimeters. circumference measures 13 inches. She wants A. 201.1 cm3 B. 804.2 cm3 to box it for a gift but can only find cube- C. 268.1 cm3 D. 2144.7 cm3 shaped boxes of sides 3 inches, 4 inches, 5 inches, or 6 inches. What is the smallest box that the ball will fit into with the top on?

16) Which diagram represents the figure with the greatest volume?

(1) (3)

(2) (4) 1. Determine the probability of a dart landing in 1. What is the probability of a tossed coin the shaded region. landing inside the trapezoid? A 4/5 b. 1/5 A.7/16 B. 3/8 C. 15/32 D. 1/2 C. 3/5 D. 2/5

3. What is the probability that an arrow shot at 4. Find the probability that a dart thrown at the the target will land in the unshaded region? dartboard below will land in the shaded region. Round to the nearest thousandth. Round to the nearest hundredth. A. 0.750 B. 0.500 A. 0.08 B. 0.56 C. 0.333 D. 0.667 C. 0.21 D. 0.79

5. What is the probability of tossing a beanbag 6. Find the probability of Lose a Turn for the at the target and having it land outside the spinner shown. triangle if the beanbag lands inside of the circle. The diameter of the circle is 1.5 meters. Round to the nearest hundredth.

A.1/4 B.7/36 A. 0.73 B. 0.81 C. 2/9 D.1/9 C. 0.40 D. 0.60 6. If a dart hits a random point on the target 8.What is the probability that the spinner will shown, what is the probability that the point land on either the green sector or the yellow is in the shaded region? sector? A. 0.25 B.0.2 C.0.04 D.0.36

A.1/3 B.5/6 C. 5/18 D.13/36

7. This game board is a circle inscribed in a 10 Find the probability that a point chosen at inch square. The circle is divided into 8 equal random lies in the shaded region. sectors. Find the probability of hitting the shaded area.

A. 0.25 B. 0.5 C. 0.75 D.cannot be determined

A. 73% B. 55% C. 61% D. 68%

If a dart hits a random point on the target shown, what is the probability that the point is in the shaded region?

A. 0.25 B. 0.2 C. 0.04 D. 0.36