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
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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Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d90d2d3-186e-4617-9adf-9000213af6d7%2Fe7ea2df0-6d8b-4182-b978-2e22c7b0ceca%2Ff8q7w5i_processed.png&w=3840&q=75)
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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