Volume of a Shape Worksheet
Are you struggling to understand how to calculate the volume of different shapes? Whether you're a student hoping to improve your math skills or a teacher searching for resources to support your lesson plans, this volume of a shape worksheet is designed to help you master this fundamental geometric concept.
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What is the volume of a cube with side length 5 cm?
The volume of a cube with a side length of 5 cm is 125 cubic centimeters.
How do you find the volume of a rectangular prism with length 12 cm, width 4 cm, and height 6 cm?
To find the volume of a rectangular prism, you multiply the length by the width and then by the height. In this case, the length is 12 cm, the width is 4 cm, and the height is 6 cm. So, the volume would be 12 cm x 4 cm x 6 cm = 288 cubic centimeters.
A cylinder has a radius of 2.5 cm and a height of 10 cm. What is its volume?
The volume of a cylinder is calculated using the formula V = ?r^2h, where r is the radius and h is the height. Substituting the values of r = 2.5 cm and h = 10 cm into the formula, the volume of the cylinder is V = ?(2.5)^2(10) = 62.5? cm^3, which is approximately 196.35 cm^3.
What is the volume of a sphere with a radius of 7 cm?
The volume of a sphere can be calculated using the formula V = (4/3)?r^3, where r is the radius of the sphere. Plugging in the radius of 7 cm, the volume of the sphere would be V = (4/3)?(7)^3 = (4/3)?(343) = 4,186.67 cubic centimeters. Therefore, the volume of a sphere with a radius of 7 cm is approximately 4,186.67 cubic centimeters.
How do you calculate the volume of a pyramid with a base area of 25 square units and a height of 8 units?
To calculate the volume of a pyramid, you use the formula V = (1/3) × base area × height. Substituting the values given, with a base area of 25 square units and a height of 8 units, the volume of the pyramid would be V = (1/3) × 25 × 8 = 66.67 cubic units.
A cone has a radius of 3 cm and a height of 6 cm. Find its volume.
To find the volume of a cone, we use the formula V = 1/3 * ? * r^2 * h, where r is the radius and h is the height. Plugging in the given values of r = 3 cm and h = 6 cm, we get V = 1/3 * ? * 3^2 * 6 = 54? cm^3. Therefore, the volume of the cone is 54? cubic centimeters.
What is the volume of a triangular prism with base dimensions of 4 cm, 6 cm, and 8 cm, and a height of 10 cm?
The volume of a triangular prism is calculated by multiplying the area of the triangle (1/2 * base * height) by the height of the prism. In this case, the base dimensions of the triangle are 6 cm and 8 cm, so the area of the triangle is 1/2 * 6 * 8 = 24 square cm. Multiplying this by the height of the prism (10 cm) gives a volume of 240 cubic cm.
Calculate the volume of a rectangular pyramid with a base length of 5 cm, width of 3 cm, and height of 12 cm.
To calculate the volume of a rectangular pyramid, you can use the formula V = (1/3) * base area * height. The base area can be calculated as length * width. So, for this rectangular pyramid with a base length of 5 cm and width of 3 cm, the base area is 5 cm * 3 cm = 15 cm². Plugging in the values, the volume V = (1/3) * 15 cm² * 12 cm = 60 cm³. Therefore, the volume of the rectangular pyramid is 60 cubic centimeters.
A sphere has a volume of 250 cubic units. Find its radius.
The formula for the volume of a sphere is V = (4/3)?r^3, where V is the volume and r is the radius. Given that the volume is 250 cubic units, we can plug this value into the formula and solve for the radius: 250 = (4/3)?r^3. By rearranging the equation, we find that the radius is approximately 5 units.
What is the volume of a cylinder with a diameter of 10 cm and a height of 15 cm?
The volume of a cylinder is given by the formula V = ?r²h, where r is the radius and h is the height. Since the diameter is 10 cm, the radius is 5 cm. Substituting the values into the formula, V = ?(5)²(15) = 375? cm³. Therefore, the volume of the cylinder is 375? cubic centimeters.
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