How many significant digits should be shown in the product of 1.6 cm and 2.4 cm? 3?

We have to find the number of significant figures in the product of 1.6 cm and 2.4 cm.

Let us first find the product of 1.6 cm and 2.4 cm.

= 3.84 square cm.

Now, we have to determine the number of significant figures in 3.84

The significant digits of a number are the digits have meaning or they contribute to the value of the number. All non-zero digits are significant , any zeros between significant digits are also significant  figures and the trailing zeros to the right of a decimal point are significant figures.

Therefore, in 3.84, there are 3 significant figures in this number.

So, there are 3 significant figures in the product of 1.6 cm and 2.4 cm.

Step-by-step explanation:

For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169

Solve algebraically, b^2= 144, so b=12, which is the height.

Part B

Determine the surface area of each cardboard piece, and add together.

20 × 13 × 2 = 520

1/2 × 10 × 12 × 2 = 120

20 × 10 = 200

So approximately 840 cm of cardboard was used