Find the volume of a rectangular solid with the following dimensions: 2√3 cm x 7√5 cm x 4√6 cm.
i got 56√90 but that's not one of the answer. The answers are
84√5 cm^3 168√10 cm^3 336√5 cm^3
To find the volume of a rectangular solid, you need to multiply its length, width, and height together.
In this case, the length of the rectangular solid is 2√3 cm, the width is 7√5 cm, and the height is 4√6 cm.
To multiply these values together, you can follow these steps:
Step 1: Multiply the numbers outside of the square roots together:
2 * 7 * 4 = 56
Step 2: Multiply the numbers inside of the square roots together:
√3 * √5 * √6 = √(3 * 5 * 6) = √90
Step 3: Simplify the square root of 90:
√90 = √(9 * 10) = √9 * √10 = 3√10
Step 4: Multiply the values obtained in steps 1 and 3:
56 * 3√10 = 168√10
Therefore, the volume of the rectangular solid is 168√10 cubic centimeters.