Question

paul has a paperweight shaped like a square pyramid shown what is the total area in square centermeters

Answer 1

Answer:

$\text{Total surface area of a paperweight}=64\text{ cm}^2$

Step-by-step explanation:

We have been given a picture of a paperweight which is shaped like a square pyramid. We are asked to find the total surface area of the paperweight.

We will use total surface area formula of a regular pyramid to find the total surface area of our given paperweight.

$\text{Total surface area of a pyramid}=\frac{1}{2}p*l+B$, where,

$p=\text{Perimeter of the base}$,

$l=\text{Slant height}$,

$B=\text{Area of the base}$.

Since base of our pyramid is square, so perimeter of the base will be 4 times length of each side of square (4*4=16) cm.

$\text{Area of the base}=\text{4 cm*4 cm}=16 \text{ cm}^2$

Upon substituting our given values in total surface area of pyramid we will get,

$\text{Total surface area of a paperweight}=\frac{1}{2}*16\text{ cm}*\text{6 cm}+16\text{ cm}^2$

$\text{Total surface area of a paperweight}=8\text{ cm}*\text{6 cm}+16\text{ cm}^2$

$\text{Total surface area of a paperweight}=48\text{ cm}^2+16\text{ cm}^2$

$\text{Total surface area of a paperweight}=64\text{ cm}^2$

Therefore, total surface area of our given paperweight is 64 square cm.

Answer 2

here is the picture to your problem