Give the dimensions of a rectangular aquarium 30 cm high that holds 42 liters of water. ..... Choose the correct set of possible dimensions below. O A. Width of 35 cm and length of 40 cm O B. Width of 4 cm and length of 35 cm O. Width of 30 cm and length of 35 cm O D. Width of 40 cm and length of 45 cm O E. Width of 4 cm and length of 40 cm O F. Width of 4 cm and length of 4 cm

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter6: Quadratic Equations And Inequalities
Section6.5: More Quadratic Equations And Applications
Problem 52PS: A 5-inch by 7-inch picture is surrounded by a frame of uniform width. The area of the picture and...
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**Problem Statement:**

Give the dimensions of a rectangular aquarium 30 cm high that holds 42 liters of water.

---

**Question:**

Choose the correct set of possible dimensions below.

**Options:**

A. Width of 35 cm and length of 40 cm

B. Width of 4 cm and length of 35 cm

C. Width of 30 cm and length of 35 cm

D. Width of 40 cm and length of 45 cm

E. Width of 4 cm and length of 40 cm

F. Width of 4 cm and length of 4 cm

---

**Explanation:**

To solve this problem, recall that 1 liter is equal to 1000 cubic centimeters. Hence, 42 liters is equal to 42,000 cubic centimeters.

Calculate the volume of the aquarium using the formula for the volume of a rectangular prism:

\[ \text{Volume} = \text{Height} \times \text{Width} \times \text{Length} \]

Given: Height = 30 cm, Volume = 42,000 cubic centimeters. Substitute these values to find compatible Width and Length dimensions.
Transcribed Image Text:**Problem Statement:** Give the dimensions of a rectangular aquarium 30 cm high that holds 42 liters of water. --- **Question:** Choose the correct set of possible dimensions below. **Options:** A. Width of 35 cm and length of 40 cm B. Width of 4 cm and length of 35 cm C. Width of 30 cm and length of 35 cm D. Width of 40 cm and length of 45 cm E. Width of 4 cm and length of 40 cm F. Width of 4 cm and length of 4 cm --- **Explanation:** To solve this problem, recall that 1 liter is equal to 1000 cubic centimeters. Hence, 42 liters is equal to 42,000 cubic centimeters. Calculate the volume of the aquarium using the formula for the volume of a rectangular prism: \[ \text{Volume} = \text{Height} \times \text{Width} \times \text{Length} \] Given: Height = 30 cm, Volume = 42,000 cubic centimeters. Substitute these values to find compatible Width and Length dimensions.
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