A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?20406080100下一题 Next
Question
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?20406080100下一题 Next
Solution 1
The capacity of a rectangular box (or in this case, a sandbox) is calculated by multiplying its length, width, and height. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox,
Solution 2
The capacity of a rectangular box (or in this case, a sandbox) is calculated by multiplying its length, width, and height. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, the capacity of the second sandbox would be eight times the capacity of the first sandbox (since 222 = 8).
So, if the first sandbox has a capacity of 10 cubic feet, the second sandbox would have a capacity of 10 cubic feet * 8 = 80 cubic feet.
Therefore, the capacity of the second sandbox would be 80 cubic feet.
Similar Questions
Chad received a sandbox in the shape of a rectangular prism for his birthday. The sandbox has a length of 4 feet, a width of 3 feet, and a height of 1 foot. What is the volume of the sandbox? A. 14 cubic feet B. 10 cubic feet C. 16 cubic feet D. 12 cubic feet
Andrea is making a sandbox for her children. She has made a wooden frame for her backyard that is 11 feet long, 8 feet wide, and 2 feet deep. She can purchase sand for the sandbox for $30 per cubic meter. How much will it cost Andrea to purchase sand? (Hint: 1 foot = 0.3048 meters.)(Round your answer to the nearest dollar.)
Box A has a volume of 512 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were divided by 2. What is the volume of Box B?Group of answer choices256 m3170 m3128 m364 m3
A company makes concrete bricks shaped like rectangular prisms. Each brick is 10 inches long, 7 inches wide, and 5 inches tall. If they used 14,000in3 of concrete, how many bricks did they make?bricks
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 7 cubic feet and the volume of each large box is 20 cubic feet. There were 8 more small boxes shipped than large boxes and the total volume of all boxes was 245 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.