Question

card set a: task cards
a rectangular aquarium will hold 24 cubic feet of water when filled to the top. if it is 4ft long and 3ft tall, how wide is the tank?
l=____ ft
w=____ ft
h=____ ft
volume=____ cubic feet
1.
what is the volume of a rectangular prism with a height of 2 ft. and a base area of 6 ft?
l=____ ft
w=____ ft
h=____ ft
volume=____ cubic feet
2.
cubed - shaped boxes of candy are shipped in larger boxes. the larger boxes are six feet long, one foot wide, and two feet high. how many one cubic foot boxes of candy will the large box hold?
l=__ ft. h=__ ft.
w=__ ft. volume=__ cubic feet
3.
a rectangular juice box contains 24 milliliters of apple juice. the box is 2 cm high and 3 cm wide what is the length of the juice box?
(1 milliliter = 1 cubic centimeter)
l=__ cm h=__ cm
w=__ cm volume=__ cubic cm
4.
a wading pool will be 5 m long and 2m wide. if it will hold 30 cubic meters of water, how deep should this wading pool be?
l=__ m volume=__ cubic m
w=____ m
h=____ m
5.
a moving company is trying to store 1 cubic meter boxes in a storage room with a length of 5 m, width of 3 m and height of 2 m. how many boxes can fit in this space?
l=__ m volume=__ cubic meters
w=____ m
h=____ m
6.
what is the volume of a cube with an edge that measures 3 cm?
l=____ cm
w=____ cm
h=____ cm
volume=____ cubic centimeters
7.
a toy company is planning to market a set of wooden alphabet blocks. each block is a cube with 1 - cm edges. how many blocks will fit into a container that is 3 cm long, 2 cm wide, and 3 cm tall?
l=__ cm volume=__ cubic cm
w=____ cm
h=____ cm
8.

Explanation:

1.

Step1: Recall volume formula

The volume formula for a rectangular - prism is $V = L\times W\times H$. We know $V = 24$ cubic feet, $L = 4$ ft, and $H = 3$ ft. We need to find $W$.

Step2: Rearrange the formula to solve for $W$

$W=\frac{V}{L\times H}$.

Step3: Substitute the values

$W=\frac{24}{4\times3}=\frac{24}{12} = 2$ ft.

Step1: Recall volume formula

The volume formula for a rectangular - prism is $V = B\times H$, where $B$ is the base area. Given $B = 6$ ft² and $H = 2$ ft.

Step2: Calculate the volume

$V=6\times2 = 12$ cubic feet.

Step1: Recall volume formula

The volume formula for a rectangular - prism is $V = L\times W\times H$. Given $L = 6$ ft, $W = 1$ ft, and $H = 2$ ft.

Step2: Calculate the volume

$V=6\times1\times2=12$ cubic feet. Since each small box has a volume of 1 cubic foot, the number of one - cubic - foot boxes is equal to the volume of the large box.

Answer:

$L = 4$ ft, $W = 2$ ft, $H = 3$ ft, Volume = 24 cubic feet

2.