Question

SIGIO ULUUGIL UGYULLY L n INVOLUULE DILL... You might need: Calculator Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a square pyramid and is covered in shiny gold foil. 15 cm 6 cm How much gold foil did it take to cover the trophy, including the bottom? cm? So 6 of 10

Answer 1

We will calculate the total surface area;

The total surface area is given by

`\text{TSA}=a(a+\sqrt[]{a^2+4h^2})`

where a is the base-length and h is the height

From the fig.

a=6cm

h=15cm

substituting into the formula;

`\text{TSA}=6(6+\sqrt[]{6^2+4(15)^2})`

Then evaluate;

`\text{TSA}=6(6+\sqrt[]{36+900}`
`=6(6+\sqrt[]{936)}`
`=6(6+30.6)`

=6(36.6)

=219.6 cm²

A gold foil of area 219.6 cm² is needed