Shapes Volume Area Capacity

Calculate the volume of a cube with side length 5 cm.

• 100 cm^3

• 150 cm^3

• 125 cm^3

• 25 cm^3

Answer explanation

To calculate the volume of a cube, use the formula V = s^3 where s is the side length. Substituting s=5, V = 5^3 = 125 cm^3. Therefore, the correct answer is 125 cm^3.

Calculate the area of a rectangle with length 8 cm and width 4 cm.

• 32 square cm

• 20 square cm

• 16 square cm

• 12 square cm

Answer explanation

To calculate the area of a rectangle, multiply the length by the width. In this case, 8 cm * 4 cm = 32 square cm. Therefore, the correct answer is 32 square cm.

Calculate the capacity of a cylinder with radius 3 cm and height 10 cm.

• 90π cm^3

• 120π cm^3

• 60π cm^3

• 30π cm^3

Answer explanation

The formula for the volume of a cylinder is V = πr^2h. Substituting r = 3 cm and h = 10 cm, we get V = π(3^2)(10) = 90π cm^3. Therefore, the capacity of the cylinder is 90π cm^3.

Identify the 2D shape with 4 sides and all angles equal.

• Triangle

• Rectangle

• Circle

• Square

Answer explanation

The square is the 2D shape with 4 sides and all angles equal.

Identify the 3D shape with 6 faces, 12 edges, and 8 vertices.

• Pyramid

• Cube

• Tetrahedron

• Octahedron

Answer explanation

The 3D shape with 6 faces, 12 edges, and 8 vertices is a Cube, making it the correct choice.

Calculate the area of a sphere with radius 6 cm.

• 301.5929 cm^2

• 452.3904 cm^2

• 113.0973 cm^2

• 524.7808 cm^2

Answer explanation

The formula for the area of a sphere is 4πr^2. Substituting r=6, we get 4*π*6^2 = 452.3904 cm^2, which matches the correct answer choice.

Identify the net of a cube.

• The net of a cube is a pentagon

• The net of a cube is a triangle

• The net of a cube is a circle

• The net of a cube is composed of 6 squares connected at their edges.

Answer explanation

The net of a cube is composed of 6 squares connected at their edges.

Calculate the perimeter of a square with side length 10 cm.

• 20 cm

• 30 cm

• 40 cm

• 50 cm

Answer explanation

To calculate the perimeter of a square, we multiply the side length by 4. Therefore, the perimeter of a square with side length 10 cm is 10 cm * 4 = 40 cm.

Identify the 3D shape with 5 faces, 8 edges, and 5 vertices.

• Cube

• Cylinder

• Tetrahedron

• Octahedron

Answer explanation

The 3D shape with 5 faces, 8 edges, and 5 vertices is a Tetrahedron, which fits the given criteria perfectly.

Calculate the area of a triangle with base 6 cm and height 8 cm.

• 24 square cm

• 30 square cm

• 36 square cm

• 40 square cm