A. To determine the volume of the candle, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base of the cylinder and h is the height. Since the candle is cylindrical, we need to calculate the volume using the appropriate measurements.
Let's say the radius of the candle is 3 cm and the height is 10 cm.
V = π(3)^2(10)
V = 90π cm^3
So, the volume of the candle is 90π cubic centimeters.
B. To determine the dimensions of the box that will fit tightly against the candle, we need to find the side length of the square base of the box. Since the candle is cylindrical, the side length of the square base of the box should be equal to the diameter of the candle.
The diameter of the candle is twice the radius, so it is 2 times 3 cm = 6 cm.
Therefore, the dimensions of the box should be 6 cm x 6 cm x 10 cm in order to fit tightly against the candle.
1. A candle company wishes to package its cylindrical candles in boxes. Each candle is placed in a box that is a square-based prism. The candles fit tightly into the boxes in order to avoid damage from rolling.
A. Determine the volume of the candle. B. Determine the dimensions of the box that will fit tightly against the candle.
1 answer
2 answers