volume

  1. math_celebrity

    Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions 40 feet

    Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions 40 feet long, 20 feet wide, and 5 feet deep. How many cubic feet of water will the pool hold? This is a rectangular solid. The volume is l x w x h: V = 40 x 20 x 5 V = 4,000 cubic feet
  2. math_celebrity

    A storage box has a volume of 56 cubic inches. The base of the box is 4 inches by 4 inches. What is

    A storage box has a volume of 56 cubic inches. The base of the box is 4 inches by 4 inches. What is the height of the box? The volume of the box is l x w x h. We're given l and w = 4. So we want height: 56 = 4 x 4 x h 16h = 56 Type this equation into our search engine and we get: h = 3.5
  3. math_celebrity

    A spherical water tank holds 11,500ft^3 of water. What is the diameter?

    A spherical water tank holds 11,500ft^3 of water. What is the diameter? The tank holding amount is volume. And the volume of a sphere is: V = (4pir^3)/3 We know that radius is 1/2 of diameter: r =d/2 So we rewrite our volume function: V = 4/3(pi(d/2)^3) We're given V = 11,500 so we have...
  4. math_celebrity

    A cereal box has dimensions of 12" x 3" x 18". How many square inches of cardboard are used in its c

    A cereal box has dimensions of 12" x 3" x 18". How many square inches of cardboard are used in its construction? A cereal box is a rectangular solid. The volume formula is V = lwh. Substituting these values of the cereal box in, we have: V = 12(3)(18) V = 648 cubic inches
  5. math_celebrity

    Anna is collecting boxes of cereal to deliver in a food bank. The volume of each cereal box is 324 c

    Anna is collecting boxes of cereal to deliver in a food bank. The volume of each cereal box is 324 cubic inches. The picture shows the cereal boxes she has collected so far. A large delivery box holds three times as many boxes as Anna collected. About what is the volume of the delivery box...
  6. math_celebrity

    A lead pipe 20 ft long is 3/8 inch thick and has an inner diameter of 3 inches. Find the volume of l

    A lead pipe 20 ft long is 3/8 inch thick and has an inner diameter of 3 inches. Find the volume of lead in it. A lead pipe is a cylinder. We want the volume of a cylinder. Convert 20ft to inches: 20ft = 12(20) = 240 inches Find the inner radius: 1/2 * inner diameter 1/2 * 3 = 3/2 Now add the...
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