B. No, It is 6,920 cm^3 too small for the space
To determine if the refrigerator will fit in the space, we need to calculate the volume of the refrigerator. The volume of the refrigerator is calculated by multiplying the length, width, and height:
Volume = 76 cm x 76 cm x 170 cm
Volume = 946,720 cm^3
Since the volume of the refrigerator is 946,720 cm^3, which is smaller than the space with a volume of 975,000 cm^3, the refrigerator will not fit in the space and is 6,920 cm^3 too small.
Lloyd bought a refrigerator that measures 76 cm x 76 cm x 170 cm to fit in a space with a volume of 975,000 cm^3. Will the refrigerator fit in the space? Explain.
A. Yes, it will fit since it it smaller than the space
B. No, It is 6,920 cm^3 too small for the space
C. No, it it 6,920 cm^3 too big for the space
D. Yes, it will fit. It will be a bit tight, but that wont matter.
11 answers
You sure 974,720 cm^3 is smaller than the space 975,000 cm^3? O-O
Apologies for the error in my previous response. Let's correct the calculation:
Volume of the refrigerator = 76 cm x 76 cm x 170 cm
Volume of the refrigerator = 929,920 cm^3
The space has a volume of 975,000 cm^3, which is larger than the volume of the refrigerator. Therefore, the correct answer is:
A. Yes, it will fit since it is smaller than the space
The refrigerator will fit in the space as it is smaller in volume than the space provided. Thank you for pointing out the mistake.
Volume of the refrigerator = 76 cm x 76 cm x 170 cm
Volume of the refrigerator = 929,920 cm^3
The space has a volume of 975,000 cm^3, which is larger than the volume of the refrigerator. Therefore, the correct answer is:
A. Yes, it will fit since it is smaller than the space
The refrigerator will fit in the space as it is smaller in volume than the space provided. Thank you for pointing out the mistake.
The volume of a right circular cylinder is 27,355.68 mm^3. Find the height of the cylinder if the radius is 22mm. Use 3.14 for pi.
_____mm
_____mm
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given:
Volume (V) = 27,355.68 mm^3
Radius (r) = 22 mm
π ≈ 3.14
We can substitute the given values into the formula and solve for the height (h):
27,355.68 = 3.14 * 22^2 * h
27,355.68 = 3.14 * 484 * h
27,355.68 = 1522.56 * h
h = 27,355.68 / 1522.56
h ≈ 17.98 mm
Therefore, the height of the cylinder is approximately 17.98 mm.
Given:
Volume (V) = 27,355.68 mm^3
Radius (r) = 22 mm
π ≈ 3.14
We can substitute the given values into the formula and solve for the height (h):
27,355.68 = 3.14 * 22^2 * h
27,355.68 = 3.14 * 484 * h
27,355.68 = 1522.56 * h
h = 27,355.68 / 1522.56
h ≈ 17.98 mm
Therefore, the height of the cylinder is approximately 17.98 mm.
Top of the table: 30 in. , 30 in. , 2 in.
Table stand: 25 in. , 8 in. , 8in.
Bottom of table: 4 in. , 12 in. , 12 in
What is the volume of the table?
____in.^3
Table stand: 25 in. , 8 in. , 8in.
Bottom of table: 4 in. , 12 in. , 12 in
What is the volume of the table?
____in.^3
To find the volume of the table, we need to calculate the volume of each component (top, stand, bottom) separately and then add them together.
1. Volume of the top of the table:
Volume = Length x Width x Height
Volume = 30 in x 30 in x 2 in
Volume = 1800 in^3
2. Volume of the table stand:
Volume = Length x Width x Height
Volume = 25 in x 8 in x 8 in
Volume = 1600 in^3
3. Volume of the bottom of the table:
Volume = Length x Width x Height
Volume = 4 in x 12 in x 12 in
Volume = 576 in^3
Now, we add the volumes of the top, stand, and bottom together to get the total volume of the table:
Total Volume = Volume of top + Volume of stand + Volume of bottom
Total Volume = 1800 in^3 + 1600 in^3 + 576 in^3
Total Volume = 3976 in^3
Therefore, the volume of the table is 3976 in^3.
1. Volume of the top of the table:
Volume = Length x Width x Height
Volume = 30 in x 30 in x 2 in
Volume = 1800 in^3
2. Volume of the table stand:
Volume = Length x Width x Height
Volume = 25 in x 8 in x 8 in
Volume = 1600 in^3
3. Volume of the bottom of the table:
Volume = Length x Width x Height
Volume = 4 in x 12 in x 12 in
Volume = 576 in^3
Now, we add the volumes of the top, stand, and bottom together to get the total volume of the table:
Total Volume = Volume of top + Volume of stand + Volume of bottom
Total Volume = 1800 in^3 + 1600 in^3 + 576 in^3
Total Volume = 3976 in^3
Therefore, the volume of the table is 3976 in^3.
15m, 15m, 15m, 15m, 15m, 15m, 15m, 15m, 20m, 44m, 44m
What is the volume of the movie theater?
____m^3
What is the volume of the movie theater?
____m^3
To find the volume of the movie theater, we need to break it down into separate rectangular shapes and then add their volumes together.
1. The first shape is a cube with sides 15m, 15m, and 15m. The volume of this cube is:
Volume = Side x Side x Side
Volume = 15m x 15m x 15m
Volume = 3375 m^3
2. The second shape is a rectangular prism with sides 15m, 15m, and 20m. The volume of this prism is:
Volume = Length x Width x Height
Volume = 15m x 15m x 20m
Volume = 4500 m^3
3. The third shape is also a rectangular prism with sides 44m, 44m, and 15m. The volume of this prism is:
Volume = Length x Width x Height
Volume = 44m x 44m x 15m
Volume = 29040 m^3
Now, we add the volumes of all three shapes to find the total volume of the movie theater:
Total Volume = Volume of cube + Volume of first prism + Volume of second prism
Total Volume = 3375 m^3 + 4500 m^3 + 29040 m^3
Total Volume = 36815 m^3
Therefore, the volume of the movie theater is 36815 m^3.
1. The first shape is a cube with sides 15m, 15m, and 15m. The volume of this cube is:
Volume = Side x Side x Side
Volume = 15m x 15m x 15m
Volume = 3375 m^3
2. The second shape is a rectangular prism with sides 15m, 15m, and 20m. The volume of this prism is:
Volume = Length x Width x Height
Volume = 15m x 15m x 20m
Volume = 4500 m^3
3. The third shape is also a rectangular prism with sides 44m, 44m, and 15m. The volume of this prism is:
Volume = Length x Width x Height
Volume = 44m x 44m x 15m
Volume = 29040 m^3
Now, we add the volumes of all three shapes to find the total volume of the movie theater:
Total Volume = Volume of cube + Volume of first prism + Volume of second prism
Total Volume = 3375 m^3 + 4500 m^3 + 29040 m^3
Total Volume = 36815 m^3
Therefore, the volume of the movie theater is 36815 m^3.
Mirchealla has 20 cans of tomato sauce with a combined volume of 12,057.6 in^3. If each can has a radius of 4 in, find the height of 1 can. use 3.14 for pi.
___in
___in
To find the height of one can of tomato sauce, we first need to calculate the volume of a single can using the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height.
Given:
Total combined volume of 20 cans = 12,057.6 in^3
Radius (r) = 4 in
π ≈ 3.14
We can calculate the volume of one can:
Total volume of 20 cans = Volume of 1 can * 20
12,057.6 in^3 = π * 4^2 * h * 20
12,057.6 in^3 = 3.14 * 16 * h * 20
12,057.6 in^3 = 1004.8 * h
h = 12,057.6 / 1004.8
h ≈ 12 in
Therefore, the height of one can of tomato sauce is approximately 12 inches.
Given:
Total combined volume of 20 cans = 12,057.6 in^3
Radius (r) = 4 in
π ≈ 3.14
We can calculate the volume of one can:
Total volume of 20 cans = Volume of 1 can * 20
12,057.6 in^3 = π * 4^2 * h * 20
12,057.6 in^3 = 3.14 * 16 * h * 20
12,057.6 in^3 = 1004.8 * h
h = 12,057.6 / 1004.8
h ≈ 12 in
Therefore, the height of one can of tomato sauce is approximately 12 inches.
3 answers