what is the total amount of edging that would be required to cover all edges of a rectangular prism measuring 10 cm by 30 cm by 15 cm?
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What is the total amount of edging that would be required to cover all edges of a rectangular prism measuring 10 cm by 15 cm by 30 cm?
To find the total amount of edging required to cover all edges of a rectangular prism, you need to find the perimeter of each face and then add them up.
The rectangular prism has dimensions of 10 cm (length), 30 cm (width), and 15 cm (height).
First, let's calculate the perimeter of the top and bottom faces:
Perimeter of the top and bottom faces = 2 × (length + width)
= 2 × (10 cm + 30 cm)
= 2 × 40 cm
= 80 cm
Next, let's calculate the perimeter of the side faces:
Perimeter of the side faces = 2 × (length + height + width + height) - 4 × height
= 2 × (10 cm + 15 cm + 30 cm + 15 cm) - 4 × 15 cm
= 2 × (70 cm) - 4 × 15 cm
= 140 cm - 60 cm
= 80 cm
Finally, add the perimeters of the top and bottom faces to the perimeter of the side faces:
Total amount of edging required = Perimeter of the top and bottom faces + Perimeter of the side faces
= 80 cm + 80 cm
= 160 cm
Therefore, the total amount of edging required to cover all edges of the rectangular prism is 160 cm.
To find the total amount of edging required to cover all edges of a rectangular prism, you need to calculate the perimeter of each face and add them together.
1. Start by calculating the perimeter of the base. In this case, the base of the rectangular prism measures 10 cm by 30 cm. The perimeter of the base is calculated by adding all the sides: 10 cm + 10 cm + 30 cm + 30 cm = 80 cm.
2. Next, calculate the perimeter of the other two faces. The dimensions of these faces are 10 cm by 15 cm and 30 cm by 15 cm. The perimeter of the first face is 10 cm + 10 cm + 15 cm + 15 cm = 50 cm. The perimeter of the second face is 30 cm + 30 cm + 15 cm + 15 cm = 90 cm.
3. Finally, add up the perimeters of all three faces: 80 cm + 50 cm + 90 cm = 220 cm.
Therefore, the total amount of edging required to cover all edges of the rectangular prism measuring 10 cm by 30 cm by 15 cm is 220 cm.