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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Volume of 3D-shapes

Grade: 1300-a Lesson: S3-L7

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	The volume of a cube is \$1728\$ \$cm^3\$, then what is the measure of the edge of a cube?	A) 12 cm B) 14 cm C) 16 cm D) 18 cm
2	The volume of a cuboid is 8000 cubic units. If the length is 2 times the width and the height is 4 times the width, find the width of the cuboid.	A) 100 units B) 10 units C) 0.1 units D) 1000 units
3	Two glass spheres have diameters of 12 centimeters and 18 centimeters, respectively. What is the positive difference, in cubic centimeters, in their volumes?	A) 644π B) 648π C) 684π D) 682π
4	Find the volume of frustum. $4$	A) \$42.78\$ \$cm^3\$ B) \$8.4\$ \$cm^3\$ C) \$4.78\$ \$cm^3\$ D) \$40.78\$ \$cm^3\$
5	Find the height of a pyramid with volume \$84\$ \$"in"^3\$ and base area 22 in.	A) 111.45 inches B) 1.45 inches C) 10.45 inches D) 11.45 inches
6	A circle has a circumference of 2π and it is used as the base of a cylinder. The cylinder has a surface area of 20π. Find the volume of the cylinder.	A) 12π B) 6π C) 9π D) 18π
7	What is the volume of a hexagonal pyramid if the sides of a base are 4 cm each and the height of the pyramid is 10 cm?	A) \$40\sqrt3\$ \$cm^3\$ B) \$80\sqrt3\$ \$cm^3\$ C) \$60\sqrt3\$ \$cm^3\$ D) \$100\sqrt3\$ \$cm^3\$
8	Determine the volume of oblique pentagonal prism with a base area of 100 sq.cm and a perpendicular height of 4.8 cm.	A) \$480\$ \$cm^3\$ B) \$470\$ \$cm^3\$ C) \$440\$ \$cm^3\$ D) \$480\$ \$cm^2\$
9	A cone has a diameter of 20 cm and a perpendicular height of 8 cm. Calculate the volume of the cone in terms of π.	A) \$256.6π\$ \$cm^3\$ B) \$266.6π\$ \$cm^3\$ C) \$255.6π\$ \$cm^3\$ D) \$276.6π\$ \$cm^3\$
10	A sphere has a volume of \$2000\$ \$cm^3\$. Calculate the radius of the sphere.	A) 6.7 cm B) 8.7 cm C) 7.8 cm D) 9.7 cm

Problem Id

Problem

Options

The volume of a cube is \$1728\$ \$cm^3\$, then what is the measure of the edge of a cube?

A) 12 cm

B) 14 cm

C) 16 cm

D) 18 cm

The volume of a cuboid is 8000 cubic units. If the length is 2 times the width and the height is 4 times the width, find the width of the cuboid.

A) 100 units

B) 10 units

C) 0.1 units

D) 1000 units

Two glass spheres have diameters of 12 centimeters and 18 centimeters, respectively. What is the positive difference, in cubic centimeters, in their volumes?

A) 644π

B) 648π

C) 684π

D) 682π

Find the volume of frustum.

$4$

A) \$42.78\$ \$cm^3\$

B) \$8.4\$ \$cm^3\$

C) \$4.78\$ \$cm^3\$

D) \$40.78\$ \$cm^3\$

Find the height of a pyramid with volume \$84\$ \$"in"^3\$ and base area 22 in.

A) 111.45 inches

B) 1.45 inches

C) 10.45 inches

D) 11.45 inches

A circle has a circumference of 2π and it is used as the base of a cylinder. The cylinder has a surface area of 20π. Find the volume of the cylinder.

A) 12π

B) 6π

C) 9π

D) 18π

What is the volume of a hexagonal pyramid if the sides of a base are 4 cm each and the height of the pyramid is 10 cm?

A) \$40\sqrt3\$ \$cm^3\$

B) \$80\sqrt3\$ \$cm^3\$

C) \$60\sqrt3\$ \$cm^3\$

D) \$100\sqrt3\$ \$cm^3\$

Determine the volume of oblique pentagonal prism with a base area of 100 sq.cm and a perpendicular height of 4.8 cm.

A) \$480\$ \$cm^3\$

B) \$470\$ \$cm^3\$

C) \$440\$ \$cm^3\$

D) \$480\$ \$cm^2\$

A cone has a diameter of 20 cm and a perpendicular height of 8 cm. Calculate the volume of the cone in terms of π.

A) \$256.6π\$ \$cm^3\$

B) \$266.6π\$ \$cm^3\$

C) \$255.6π\$ \$cm^3\$

D) \$276.6π\$ \$cm^3\$

A sphere has a volume of \$2000\$ \$cm^3\$. Calculate the radius of the sphere.

A) 6.7 cm

B) 8.7 cm

C) 7.8 cm

D) 9.7 cm