Math Drills
Volume of Prisms and Cylinders
D-2Word Problems
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What this worksheet covers
- Worksheet
- 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.
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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
Questions & answers
Problems and answers on this worksheet
These are the problems in “Volume of Prisms and Cylinders”, shown with their answers.
(1)There is a oil container shaped like a rectangular prism that is 25cm deep, 12cm wide, and 18cm in height. What is the volume of this container in how many cm³? Answer □
Answer: 5400cm³
(2)There is a water tank shaped like a rectangular prism that is 20cm deep, 15cm wide, and 30cm in height. What is the volume of this water tank in how many cm³? Answer □
Answer: 9000cm³
(3)There is a pencil holder shaped like a cylinder with a radius of 2cm and a height of 20cm. What is the volume of this pencil holder in how many cm³? Answer □
Answer: 251.2cm³
(4)There is a fire extinguisher shaped like a cylinder with a radius of 10cm and a height of 30cm. What is the volume of this fire extinguisher in how many cm³? Answer □
Answer: 9420cm³
(5)There is a water tank shaped like a cylinder with a radius of 8cm and a depth of 12cm. What is the volume of this water tank in how many cm³? Answer □
Answer: 2411.52cm³
(6)There is a cup shaped like a cylinder with a radius of 3cm and a height of 18cm. What is the volume of this cup in how many cm³? Answer □
Answer: 508.68cm³
What to do next
More worksheets in this unit
Volume of Prisms and CylindersVolume of Prisms and Cylinders Finding the Volume (Prism ②)
Volume of Prisms and CylindersVolume of Prisms and Cylinders Finding the Volume (Cylinder)
Volume of Composite SolidsVolume of Composite Solids Finding the Volume (Prism − Cylinder and More)
Volume of Composite SolidsVolume of Composite Solids Finding the Volume (2-Tier Cylinders and More)
Volume of Composite SolidsVolume of Composite Solids Word Problems
