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8th Grade Math Test: Buildup Questions on Area, Volume, Surface Area, Perimeter

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8th Grade Math Test: Buildup Questions on Area, Volume, Surface Area, Perimeter

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Questions and Answers

What is the formula to calculate the area of a rectangle?

Area = length x width

How do you find the volume of a cube?

Volume = side length x side length x side length

What is the formula for the circumference of a circle?

Circumference = 2 x pi x radius

Calculate the perimeter of a rectangle with length 5 cm and width 3 cm.

Perimeter = 2 x (length + width) Signup and view all the answers

If a cylinder has a radius of 4 cm and a height of 10 cm, what is its surface area?

Surface Area = 2 x pi x radius x (radius + height) Signup and view all the answers

What is the formula for the area of a triangle?

Area = 0.5 x base x height Signup and view all the answers

If a sphere has a radius of 6 cm, what is its volume?

Volume = (4/3) x pi x radius^3 Signup and view all the answers

Study Notes

Area of a Rectangle

Area is calculated using the formula: Area = Length × Width.

Volume of a Cube

The volume can be found using: Volume = Side³, where "Side" refers to the length of one edge of the cube.

Circumference of a Circle

The formula to determine the circumference is: Circumference = 2 × π × Radius.

Perimeter of a Rectangle

To calculate perimeter, use the formula: Perimeter = 2 × (Length + Width).
For a rectangle with a length of 5 cm and a width of 3 cm, the perimeter is 2 × (5 cm + 3 cm) = 16 cm.

Surface Area of a Cylinder

The surface area can be calculated using: Surface Area = 2 × π × Radius × (Radius + Height).
For a cylinder with a radius of 4 cm and height of 10 cm, the surface area would be 2 × π × 4 cm × (4 cm + 10 cm).

Area of a Triangle

The area is determined by the formula: Area = 1/2 × Base × Height.

Volume of a Sphere

The volume of a sphere is calculated with: Volume = (4/3) × π × Radius³.
For a sphere with a radius of 6 cm, the volume would be (4/3) × π × (6 cm)³.

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Description

This math test is designed for 8th-grade students, focusing on real-life scenarios to calculate the amount of paint needed to cover different shapes. The test covers topics like area, volume, surface area, and perimeter within a 1-hour duration.