Which cylinder has a different surface area than the others?
A. 5 cm = side to side
55 cm = up and down
B. 12 cm = side to side
14 cm = up and down
C. 10 cm = side to side
20 cm = up and down
D. 15 cm = side to side
5 cm = up and down
C. 10 cm = side to side, 20 cm = up and down
This cylinder has a different surface area because the height is twice as long as the diameter, while the other cylinders have a height that is either longer or shorter than the diameter.
Jerry wants to wrap a present in a box for his mother. The box measures 10 cm wide, 4 cm high, and 17 cm long. How much wrapping paper will Jerry need to wrap the present?
Surface area = _____ cm^2
To calculate the surface area of the box, we need to find the areas of all six sides and then add them together.
The formula for the surface area of a rectangular prism (like a box) is:
Surface area = 2lw + 2lh + 2wh
Given:
Length (l) = 17 cm
Width (w) = 10 cm
Height (h) = 4 cm
Surface area = 2(17)(10) + 2(17)(4) + 2(10)(4)
Surface area = 340 + 136 + 80
Surface area = 556 cm^2
Therefore, Jerry will need 556 cm^2 of wrapping paper to wrap the present.
What is the volume of a cube with a side length of l.5 in.?
___in.^3
To find the volume of a cube, you would use the formula:
Volume = side length^3
Given that the side length of the cube is 1.5 inches:
Volume = (1.5)^3
Volume = 1.5 * 1.5 * 1.5
Volume = 3.375 cubic inches
Therefore, the volume of a cube with a side length of 1.5 inches is 3.375 cubic inches.
If the volume of a right rectangular prism is 1.5 in.^3. and its length and width have a product of 1.5 in.^2. , what is the height of this prism?
____in.
Let the length of the prism be represented by L, the width by W, and the height by H.
Given:
Volume = 1.5 in.^3
Length * Width = 1.5 in.^2
Since the volume of a right rectangular prism is given by the formula Volume = Length * Width * Height, we have:
1.5 = 1.5 * H
1.5 = 1.5H
H = 1
Therefore, the height of the prism is 1 inch.
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.
To determine if the refrigerator will fit in the space with a volume of 975,000 cm^3, we need to calculate the volume of the refrigerator.
Given dimensions of the refrigerator:
Length = 76 cm
Width = 76 cm
Height = 170 cm
Volume of the refrigerator = Length x Width x Height
Volume of the refrigerator = 76 cm x 76 cm x 170 cm
Volume of the refrigerator = 974,720 cm^3
Since the volume of the refrigerator is 974,720 cm^3, the refrigerator is smaller than the space with a volume of 975,000 cm^3. Therefore, the correct answer is:
A. Yes, it will fit since it is smaller than the space.