Question

Find the tsa for a rectangle with the lenghth of 40cm the width of 18cm and height of 9cm

Answer 1

To find the total surface area (TSA) of a rectangular prism (or box), you can use the formula:

\[
\text{TSA} = 2(lw + lh + wh)
\]

where:
- \( l \) = length
- \( w \) = width
- \( h \) = height

Given:
- Length (\( l \)) = 40 cm
- Width (\( w \)) = 18 cm
- Height (\( h \)) = 9 cm

Now, plug in the values:

1. Calculate the area of each pair of opposite faces:
- \( lw = 40 \times 18 = 720 \, \text{cm}^2 \)
- \( lh = 40 \times 9 = 360 \, \text{cm}^2 \)
- \( wh = 18 \times 9 = 162 \, \text{cm}^2 \)

2. Now substitute these values into the TSA formula:
\[
\text{TSA} = 2(720 + 360 + 162)
\]

3. Calculate the sum inside the parentheses:
\[
720 + 360 + 162 = 1242
\]

4. Finally, multiply by 2:
\[
\text{TSA} = 2 \times 1242 = 2484 \, \text{cm}^2
\]

So, the total surface area (TSA) of the rectangle is \( 2484 \, \text{cm}^2 \).