What is the surface area of the figure shown?

Mathematics

1 answer:

natta225 [31]3 years ago

3 0

Answer:

The surface area of given figure = 264 cm²

Step-by-step explanation:

From the given figure we can see that, a square pyramid mounded on a cube

The side of cube = 6 cm

Base of pyramid is one face of cube.

Slant height of pyramid = 7 cm

Total surface area = (5 * one face of cube ) + (lateral surface area of pyramid)

To find the total surface area

lateral surface area of pyramid = 4 * one face area of pyramid

One face area of cube = side² = 6² = 36

One face area of pyramid = bh/2 = (6 * 7)/2 = 21 cm²

Lateral surface area of pyramid = 4 * 21 = 84 cm²

Surface area = (5 * 36) + (84) = 264 cm²

Therefore surface area of given figure = 264 cm²

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$\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}$

To find the percent of the total revenue from parkway:

$\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}$