Question

William has a 26,26,26-liter glass tank. He wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. If he uses 85,85,85 marbles, he will have to add 20.9,20.9,20.9 liters of water.

A. What is the volume of each marble in liters?

A. 0.2 liters
B. 0.3 liters
C. 0.25 liters
D. 0.18 liters

Answer 1

To find the volume of each marble, you subtract the volume of water added from the tank's total volume to get the total volume of marbles, then divide by the number of marbles. However, upon calculation, the volume of each marble approximately is 0.06 liters, which does not match any of the provided options.

Step-by-step explanation:

To solve this problem, we need to first calculate the total volume of the marbles that William has used by subtracting the volume of water he needed to add from the total volume of the tank. After that, we divide the total marble volume by the number of marbles to find the volume of each marble.

First, subtract the amount of water added from the tank's total volume to find the volume occupied by the marbles:

Volume of tank - Volume of water = Volume of marbles

26.26 liters - 20.9 liters = 5.36 liters

This is the combined volume of all 85 marbles. Next, we'll find the volume of a single marble:

Volume of one marble = Total volume of marbles ÷ Number of marbles

5.36 liters ÷ 85 marbles = 0.0630588235 liters

When rounded to the nearest hundredth, the volume of one marble is approximately 0.06 liters.

However, this does not match any of the options provided. Hence, we need to ensure that there's no error in the question itself or the options given. If the initial information given is correct, then none of the options (A through D) are correct.