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?
Please answer this correctly and accurately.
To find the amount of wrapping paper needed, we need to calculate the surface area of the box.
The surface area of a rectangular prism (which is what the box is) can be found using the formula:
SA = 2lw + 2lh + 2wh
Where:
l = length
w = width
h = height
Plugging in the values given:
SA = 2(17 x 10) + 2(17 x 4) + 2(10 x 4)
SA = 340 + 136 + 80
SA = 556
Therefore, Jerry will need 556 square centimeters of wrapping paper to wrap the present.
To find out how much wrapping paper Jerry will need, we need to calculate the total surface area of the box that needs to be covered.
First, let's consider the top and bottom of the box. The top and bottom surfaces have the same dimensions, so we only need to calculate one of them. The formula for calculating the area of a rectangle is length multiplied by width. So, the area of the top and bottom surfaces will be:
Area of top/bottom = length × width
Substituting the given values, the area of the top and bottom surfaces will be:
Area of top/bottom = 17 cm × 10 cm
Next, let's consider the sides of the box. The two shorter sides have the same dimensions, so we only need to calculate one of them. The two longer sides also have the same dimensions, so we only need to calculate one of them. The formula for calculating the area of a rectangle is length multiplied by height. So, the area of the two shorter sides and the area of the two longer sides will be:
Area of shorter sides = length × height
Area of longer sides = width × height
Substituting the given values, the area of the shorter sides and the area of the longer sides will be:
Area of shorter sides = 17 cm × 4 cm
Area of longer sides = 10 cm × 4 cm
Now, let's calculate the total surface area of the box that needs to be covered:
Total surface area = 2 × (area of top/bottom) + 2 × (area of shorter sides) + 2 × (area of longer sides)
Substituting the previously calculated values, the total surface area will be:
Total surface area = 2 × (17 cm × 10 cm) + 2 × (17 cm × 4 cm) + 2 × (10 cm × 4 cm)
Now, let's calculate the final result:
Total surface area = 2 × (170 cm²) + 2 × (68 cm²) + 2 × (40 cm²)
Total surface area = 340 cm² + 136 cm² + 80 cm²
Total surface area = 556 cm²
Therefore, Jerry will need 556 cm² of wrapping paper to wrap the present.
To calculate the amount of wrapping paper Jerry needs, we first need to find the surface area of the box.
The formula for finding the surface area of a rectangular prism (in this case, the box) is:
Surface Area = 2 * (length * width + length * height + width * height)
Given:
Length = 17 cm
Width = 10 cm
Height = 4 cm
Plugging in these values into the formula, we get:
Surface Area = 2 * (17 * 10 + 17 * 4 + 10 * 4)
Calculating further:
Surface Area = 2 * (170 + 68 + 40)
Surface Area = 2 * 278
Surface Area = 556 square cm
Therefore, Jerry will need 556 square cm of wrapping paper to wrap the present.