Math Drills
Volume of Prisms and Cylinders
D-3Word Problems
What this worksheet covers
Grade 6 (Elementary School) / Volume of Prisms and Cylinders / Volume of Prisms and Cylinders
Finding the ground the base covers and then multiplying by the height carries the whole lesson. The base changes across rectangular prisms and cubes, triangles, trapezoids, rhombuses, and the pentagon of a roof shape joining a triangle to a rectangle, then a hexagon, then a prism whose dented base is found by adding and subtracting, and on to cylinders and half cylinders standing upright and lying down, all as calculation. One word problem about a tank or a can is attached.
The height used for the base area is the inner dashed line drawn perpendicular to the base, marked with a right angle. In a prism whose base is a parallelogram, that gets missed and the slanted side length, which has no business in the area, is taken into the expression. Trace with a finger which figures on the drawing were picked up.
The ground that had been found as an area now carries the role of a base. Into Volume of Composite Solids, which starts from choosing whether to split or to hollow out, this way of finding a base is carried straight over.
- Word Problems6 questions
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Problems and answers on this worksheet
These are the problems in “Volume of Prisms and Cylinders”, shown with their answers.
(1)There is a lunch box shaped like a rectangular prism that is 10cm deep, 6cm wide, and 12cm in height. What is the volume of this lunch box in how many cm³? Answer □
Answer: 720cm³
(2)There is a cylinder-shaped water storage tank model with a radius of 6cm and a height of 10cm. What is the volume of this model in how many cm³? Answer □
Answer: 1130.4cm³
(3)There is a chocolate mold shaped like a triangular prism whose base is a right triangle, with a base of 4cm, a height of 6cm, and a depth of 9cm. What is the volume of this mold in how many cm³? Answer □
Answer: 108cm³
(4)There is a cylinder-shaped silo model with a radius of 7cm and a height of 25cm. What is the volume of this model in how many cm³? Answer □
Answer: 3846.5cm³
(5)There is a lump of lumber shaped like a triangular prism whose base is a right triangle, with a base of 6cm, a height of 4cm, and a depth of 12cm. What is the volume of this lumber in how many cm³? Answer □
Answer: 144cm³
(6)There is a pole shaped like a cylinder with a radius of 4cm and a height of 15cm. What is the volume of this pole in how many cm³? Answer □
Answer: 753.6cm³
What to do next
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