Question

Calculate the surface area. Be sure to show how the area of each face is calculated.

Answer 1

• Surface area of the cubiod is 186.34 cm²

Explanation:

Given:

• Shape = cubiod
• Length of cubiod = 10cm
• Width of cubiod = 4.1 cm
• Height of cubiod = 3.7 cm

To Find:

• Surface area

Solution:

We can find the total surface area of cubiod by summing up the area of the six faces of the cubiod:

• Area of the top and bottom face = lw+ lw = 2lw
• Area of the front and back face = lh+ lh = 2lh
• Area of the two side faces = wh+ wh = 2wh

Surface Area = 2(lw+ wh + hl)

Substituting the required values:

➝ Surface Area = 2(10 × 4.1) + (4.1 × 3.7) + (3.7 × 10)

➝ Surface area= 2(41 + 15.17 + 37)

➝ Surface Area = 2(93.17)

➝ Surface Area = 186.34 cm²

Hence,

• Surface area of the cubiod is 186.34 cm²