subject

Surface Area and Volume

Math ⇒ Geometry

Surface Area and Volume starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Surface Area and Volume. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 12
A closed box with a square base and height h has a surface area of 600 cm2. If the base side is x cm, express the volume in terms of x and h.
A cone has a base radius of 4 cm and a height of 9 cm. Find its volume.
A cube has a surface area of 150 cm2. What is the length of one side of the cube?
A cube has a volume of 64 cm3. What is its surface area?
A cuboid has dimensions 8 cm, 6 cm, and 4 cm. What is its total surface area?
A closed box with a square base and height h has a surface area of 600 cm2. If the base side is x cm, express the volume in terms of x and h.
A cone has a base radius of 4 cm and a height of 9 cm. Find its volume.
A cube has a surface area of 150 cm2. What is the length of one side of the cube?
A cube has a volume of 64 cm3. What is its surface area?
Which formula gives the volume of a frustum of a cone with base radii r1 and r2 and height h? (1) (1/3)πh(r12 + r22 + r1r2) (2) πh(r1 + r2) (3) πh(r12 - r22) (4) (1/2)πh(r1 + r2)
Which of the following is NOT a unit of volume? (1) cm3 (2) m2 (3) liter (4) mm3
Which of the following is the correct formula for the surface area of a cube with side a? (1) 4a2 (2) 6a2 (3) 8a2 (4) 12a2
Which of the following is the correct formula for the volume of a rectangular prism? (1) l + w + h (2) l × w × h (3) 2(lw + lh + wh) (4) 4πr2
Fill in the blank: The lateral surface area of a right circular cone is _________.
Fill in the blank: The total surface area of a closed cylinder is _________.
Fill in the blank: The volume of a right circular cylinder is _________.
The surface area of a hemisphere (including the base) is _________.
The volume of a cone is one-third the volume of a cylinder with the same base and height. True or False?
The volume of a prism is always equal to the product of its base area and height. True or False?
The volume of a pyramid is always one-third the product of its base area and height. True or False?