Question

Find the surface area of the solid figure.

3 cm
1
1
1
5 cm
1
1
10 cm

Answer 1

190 cm²

Explanation:

Concepts

This solid figure is a rectangular prism. Rectangular prisms are a type of prisms that have a rectangle as their base. Surface area is the area of the shapes on the solid figure. For example, to find the surface area of this rectangular prism, we have to add the areas of all the shapes. However, to make it more efficient, we can use the formula 2(lw, hl, hw), where l = length, h = height, and w = width. We're given the length, width, and height as 10 cm, 3 cm, and 5 cm. Remember to keep the units in square units.

Solving

Step 1: Set up expression.

• 
  `2(10*3+5*10+5*3)`

Step 2: Multiply.

• 
  `2(30+50+15)`

Step 3: Simplify within parentheses.

• 
  `2(80+15)`
• 
  `2(95)`

Step 4: Multiply 2 by 95.

• 2 × 95
• 190 cm²