All categories

3 years ago

The area of the top face of a cube is 16 square inches. Use 8 of these cubes to make a rectangular

Mathematics

1 answer:

KengaRu [80]3 years ago

5 0

Answer:

The volume of the rectangular prism is 512 inches³

Step-by-step explanation:

Any cube has 6 square faces

Area of any square = L × L, where L is a length of each side

The volume of the cube = L × L × L

∵ The area of the top face of a cube = 16 inches²

→ Find which number multiply by itself = 16

∵ 16 = L × L

∵ 16 = 4 × 4

∴ L = 4 inches

Let us find the volume of 1 cube

∵ The volume of the cube = L × L × L

∵ L = 4 inches

∴ The volume of each cube = 4 × 4 × 4

∴ The volume of each cube = 64 inches³

∵ We will use 8 of this cube to make a rectangular prism

→ That means the volume of the rectangular prism is 8 times

the volume of 1 cube

∴ The volume of the prism = 8 × volume of 1 cube

∵ The volume of each cube = 64 inches³

∴ The volume of the prism = 8 × 64

∴ The volume of the prism = 512 inches³

The volume of the rectangular prism is 512 inches³

You might be interested in

Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she takes three cookies, when he tak

Vsevolod [243]

Answer:

i believe its c.) directly proportional.

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

I will mark you brainly Answer the following questions. Questions What is an amount between $2 and $10? (A) __________ What is a

bearhunter [10]

I will mark you brainly Answer the following questions. Questions What is an amount between $2 and $10? (A) __________ What is an amount between $10 and $20? (B) __________ What is an amount greater than $50? (C) __________ What is your name? (D) _________________ What is the name of an item that you will buy only once? (E) _________________ What is the name of an item that you will buy more than once? (F) _________________ Create a word problem that leads to an inequality by filling in the blanks with your corresponding answers. Word Problem (D) _________________ is going shopping for (E) _________________ and (F) _________________. The cost of (E) _________________ is (B) __________ and the cost of each (F) _________________ is (A) __________. If (D) _________________ can spend at most (C) __________, how many (F) _________________ can be purchased? Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line. Explain what the solution means in the context of the word problem.

4 0

3 years ago

Read 2 more answers

henry and his brother each start a savings account. henry begins with $200 and deposits $25 each month. his brother begins with

zlopas [31]

Answer:

Henry after 2 months: 250

His brother after 2 months: 220

Step-by-step explanation:

Henry started with $200 so add $25 twice (for 2 months) and get $250 dollars after 2 months.

His brother started with $150 so add $35 twice and get $220 dollars after 2 months

4 0

3 years ago

Write as a mathematical expression. The product of 5 and x.Answer 5 + x

Reptile [31]

<h2>Answer:</h2>

Question 1)

Question 2) 

0.22a

Question 3)

8 + 6n

Question 4)

Question 5)

ab+c=14

<h2>Step-by-step explanation:</h2>

Ques 1)

The product of 5 and x.

Product of two numbers means that it is obtained by multiplying them.

Hence, the expression so obtained is: 5x

Ques 2)

22% of a

It means that:

22%×a

Also, we know that:

22% =0.22

This means that:

22% of a=0.22×a

i.e.

22% of a=0.22a

Ques 3)

8 more than the product of 6 and n.

The product of 6 and n is given by: 6n

and 8 more than there product will be given by:

8+6n

Ques 4)

Evaluate: 30 − m/6 for m = 30

i.e. we put m=30 in the expression and get the resulting value.

i.e. we have:

30-m/6=30-(30/6)

i.e.

30-m/6=30-5

i.e.

30-m/6=25

Ques 5)

Evaluate ab + c for a= 2, b = 5, c = 4.

i.e. we will put the value of a,b and c in the given expression and find the value.

i.e.

2×5+4= 10+4

i.e.

ab+c=14

6 0

4 years ago

Read 2 more answers

Where do i put the parentheses in 4+3x2-4÷2

melamori03 [73]

Answer:

4+(3x2)-4/2

Step-by-step explanation:

pemdas

5 0

3 years ago