number 37 only (9.1) ### Educational Content: Volume and Surface Area Problems---**34. Problem Statement:**The numerical value of the volume of a cube is twice the numerical value of its total surface area. What is the length of each edge of the cube?**35. Problem Statement:**The sum of the lengths of all edges of a cube is 60 cm. Find the volume $ V $ and the surface area $ T $ of the cube.**36. Problem Statement:**A concrete pad 4 inches thick is to have a length of 36 feet and a width of 30 feet. How many cubic yards of concrete must be poured?**37. Problem Statement:**Zaidah plans a raised flower bed 2 feet high by 12 feet wide by 15 feet long. The mulch, soil, and peat mixture used to fill the raised bed costs $15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden?**38. Problem Statement:**In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 feet long by 36 feet wide by 9 feet deep. How many cubic yards of dirt were removed?**39. Problem Statement:**Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 inches per side. If the congruent squares that are removed have sides that measure 6 inches each, what is the volume of the box formed by folding and sealing the flaps?**Explanation:**A diagram is provided showing the layout of the cardboard before the edges are folded. The cardboard is a square with a side length of 24 inches. Each corner of the square is cut out to form a smaller square, each with a side length of 6 inches. After cutting out these corners, the remaining flaps are folded up to form the sides of the box.- **Diagram Description:** - Central square with a side length of 24 inches. - Four squares, each with a side length of 6 inches, one at each corner of the central square. - The arrows indicate that the flaps will be folded up to form the sides of the box.---**40. Problem Statement:**As in Exercise 39, find the volume of the box if four congruent squares with

Name: number 37 only (9.1) ### Educational Content: Volume and Surface Area
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Description: number 37 only (9.1) ### Educational Content: Volume and Surface Area Problems---**34. Problem Statement:**The numerical value of the volume of a cube is twice the numerical value of its total surface area. What is the length of each edge of the cube

Volume of cuboid = LBH L = Length B= width H= Height

Math

Geometry

37. Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat mixture used to fill the raised bed costs $15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden? nontractor digs a holo in houco

37. Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat mixture used to fill the raised bed costs $15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden? nontractor digs a holo in houco

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

number 37 only (9.1)

### Educational Content: Volume and Surface Area Problems

---

**34. Problem Statement:**
The numerical value of the volume of a cube is twice the numerical value of its total surface area. What is the length of each edge of the cube?

**35. Problem Statement:**
The sum of the lengths of all edges of a cube is 60 cm. Find the volume $ V $ and the surface area $ T $ of the cube.

**36. Problem Statement:**
A concrete pad 4 inches thick is to have a length of 36 feet and a width of 30 feet. How many cubic yards of concrete must be poured?

**37. Problem Statement:**
Zaidah plans a raised flower bed 2 feet high by 12 feet wide by 15 feet long. The mulch, soil, and peat mixture used to fill the raised bed costs $15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden?

**38. Problem Statement:**
In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 feet long by 36 feet wide by 9 feet deep. How many cubic yards of dirt were removed?

**39. Problem Statement:**
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 inches per side. If the congruent squares that are removed have sides that measure 6 inches each, what is the volume of the box formed by folding and sealing the flaps?

**Explanation:**

A diagram is provided showing the layout of the cardboard before the edges are folded. The cardboard is a square with a side length of 24 inches. Each corner of the square is cut out to form a smaller square, each with a side length of 6 inches. After cutting out these corners, the remaining flaps are folded up to form the sides of the box.

- **Diagram Description:**
- Central square with a side length of 24 inches.
- Four squares, each with a side length of 6 inches, one at each corner of the central square.
- The arrows indicate that the flaps will be folded up to form the sides of the box.

---

**40. Problem Statement:**
As in Exercise 39, find the volume of the box if four congruent squares with

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