SAT OwlQuestion bank / Geometry and Trigonometry
SAT Area and volume practice questions
Area and volume is one of the skills tested in the Geometry and Trigonometry domain of the Digital SAT Math section. Below are 15 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.
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Question 1
A rectangular storage box has a length of 6 inches, a width of 5 inches, and a height of 4 inches. What is the volume, iEasyQuestion 2
A triangle has a base of 14 inches and a height of 9 inches. What is the area, in square inches, of the triangle?EasyQuestion 3
A trapezoid has parallel bases of lengths 8 inches and 14 inches, and its height is 5 inches. What is the area, in squarEasyQuestion 4
A rectangular garden is 12 meters long and 7.5 meters wide. What is the area, in square meters, of the garden?EasyQuestion 5
A right triangle has legs of length 9 and 12. A square has the same area as the triangle. What is the side length of theMediumQuestion 6
A right circular cone has a base radius of 6 centimeters. A sphere with a radius of 6 centimeters has the same volume asMediumQuestion 7
A cube has a volume of 64 cubic inches. What is the total surface area, in square inches, of the cube?MediumQuestion 8
The length of a rectangle is 3 times its width, and the perimeter of the rectangle is 64 centimeters. What is the area, MediumQuestion 9
A circle with a radius of 4 inches is inscribed in a square, so that the circle touches all four sides of the square. WhMediumQuestion 10
A right circular cylinder has a volume of 128 cubic centimeters, and its height is twice its radius. The total surface aHardQuestion 11
Two rectangular prisms are similar. The total surface area of the smaller prism is 54 square units, and the total surfacHardQuestion 12
A square is inscribed in a circle, so that all four vertices of the square lie on the circle. If the area of the circle HardQuestion 13
A cylindrical tank with a radius of 3 feet and a height of 8 feet contains water to a depth of 5 feet. All of the water HardQuestion 14
The length, width, and height of a rectangular prism are in the ratio 2:3:5, and the volume of the prism is 810 cubic inHardQuestion 15
A sphere has a surface area of 144 square centimeters. The volume of the sphere is k cubic centimeters. What is the valuHard
A rectangular storage box has a length of 6 inches, a width of 5 inches, and a height of 4 inches. What is the volume, iEasyQuestion 2
A triangle has a base of 14 inches and a height of 9 inches. What is the area, in square inches, of the triangle?EasyQuestion 3
A trapezoid has parallel bases of lengths 8 inches and 14 inches, and its height is 5 inches. What is the area, in squarEasyQuestion 4
A rectangular garden is 12 meters long and 7.5 meters wide. What is the area, in square meters, of the garden?EasyQuestion 5
A right triangle has legs of length 9 and 12. A square has the same area as the triangle. What is the side length of theMediumQuestion 6
A right circular cone has a base radius of 6 centimeters. A sphere with a radius of 6 centimeters has the same volume asMediumQuestion 7
A cube has a volume of 64 cubic inches. What is the total surface area, in square inches, of the cube?MediumQuestion 8
The length of a rectangle is 3 times its width, and the perimeter of the rectangle is 64 centimeters. What is the area, MediumQuestion 9
A circle with a radius of 4 inches is inscribed in a square, so that the circle touches all four sides of the square. WhMediumQuestion 10
A right circular cylinder has a volume of 128 cubic centimeters, and its height is twice its radius. The total surface aHardQuestion 11
Two rectangular prisms are similar. The total surface area of the smaller prism is 54 square units, and the total surfacHardQuestion 12
A square is inscribed in a circle, so that all four vertices of the square lie on the circle. If the area of the circle HardQuestion 13
A cylindrical tank with a radius of 3 feet and a height of 8 feet contains water to a depth of 5 feet. All of the water HardQuestion 14
The length, width, and height of a rectangular prism are in the ratio 2:3:5, and the volume of the prism is 810 cubic inHardQuestion 15
A sphere has a surface area of 144 square centimeters. The volume of the sphere is k cubic centimeters. What is the valuHard