Jeff has a block that is 2 inches wide, 3 inches long, and 2 inches tall. Jeff decides to build a tower that is built using three of these blocks. What is the volume of his tower?
Question 13 options:
12 cubic inches
Jeff has a block that is 2 inches wide, 3 inches long, and 2 inches tall. Jeff decides to build a tower that is built using three of these blocks. What is the volume of his tower?
36in2
20in2
24in2
21in2
The volume of one block is given by:
2 inches x 3 inches x 2 inches = 12 cubic inches
Since Jeff is using three of these blocks to build the tower, the total volume of the tower is:
3 x 12 cubic inches = 36 cubic inches
Therefore, the answer is 36in2.
A dump truck whose bed is 8 feet long, 5 feet wide, and 4 feet high is delivering gravel to a construction site. How many trips must the dump truck make to the construction site to deliver 400 cubic feet of gravel?
Question 14 options:
1)
1 trip
2)
2 trips
3)
3 trips
4)
4 trips
The capacity of the dump truck's bed is given by the product of its length, width, and height, which is:
8 feet x 5 feet x 4 feet = 160 cubic feet
To deliver 400 cubic feet of gravel, the dump truck must make:
400 cubic feet ÷ 160 cubic feet/trip = 2.5 trips
However, since the dump truck cannot make a fraction of a trip, it must make 3 trips to deliver 400 cubic feet of gravel. Therefore, the answer is 3 trips.
To find the volume of Jeff's tower, we need to find the volume of one block and then multiply it by 3 (since there are three blocks in the tower).
The volume of a rectangular block can be calculated by multiplying its length, width, and height. In this case, the width is 2 inches, the length is 3 inches, and the height is 2 inches.
So, the volume of one block is 2 inches * 3 inches * 2 inches = 12 cubic inches.
Since Jeff's tower is built using three of these blocks, we can multiply the volume of one block by 3 to find the total volume of the tower.
Thus, the volume of Jeff's tower is 12 cubic inches * 3 = 36 cubic inches.