Joel wanted a large box of cereal, but his mom was unsure if it would fit in the pantry. The box had a volume of 6900 cm3, a base length of 23 cm, and a depth of 10 cm. What was the height of the box?
Question
Joel wanted a large box of cereal, but his mom was unsure if it would fit in the pantry. The box had a volume of 6900 cm3, a base length of 23 cm, and a depth of 10 cm. What was the height of the box?
Solution
The volume of a rectangular box can be calculated using the formula: Volume = Length x Width x Height.
In this case, we know the volume (6900 cm³), the length (23 cm), and the width (10 cm), and we need to find the height.
We can rearrange the formula to solve for height: Height = Volume / (Length x Width).
Substituting the given values into the formula gives: Height = 6900 cm³ / (23 cm x 10 cm) = 6900 cm³ / 230 cm² = 30 cm.
So, the height of the box is 30 cm.
Similar Questions
A rectangular cereal box has a length of 9 inches, a width of 3 inches, and a height of 14 inches. What is the volume of the cereal box? A. 756 cubic inches B. 195 cubic inches C. 378 cubic inches D. 390 cubic inches
A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decreases each dimension of the box by x centimeters but keeps the price the same. If the new volume is 2,208 cm3 by how much was each dimension dec
A cereal box is in the shape of a rectangular prism. Find the width of a cereal box with a volume of 3,600 cubic cm and is 20 cm long and 30 cm high. Select one:60 cmhighlight_off600 cmhighlight_off6 cmhighlight_off6000 cmhighlight_off
If 22700cm of material is available to make a boxwith a square base and an open top, find thedimensions (length, width, and height) of the box thatgive the largest volume of the box. What is themaximum volume of the box?
A rectangular box has a volume of (x³ + 5x² – 12x – 36) cm³, length of (x + 6) cm and width of (x + 2) cm. What is its height?Select one:a. (x + 3) cmb. (x - 3) cmc. (x + 4) cmd. (x - 4) cm
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.