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Volgvan
3 years ago
15

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

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3 years ago
In the number 8246315 what sigit is in the ones place​
Fed [463]

Answer:

5

Step-by-step explanation:

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4 0
2 years ago
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Solve the equation: (x − 4)(x − 3) = 0
trasher [3.6K]

Answer:

x=4, x=3

Step-by-step explanation:

This is most often the format taken from the polynomial form of this problem, which is x^2-7x+12, and when it is in this format you just take each set of numbers within each parenthesis and set it to zero, then solve. In this case, x can be equal to either 3 or 4.

8 0
3 years ago
At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals fr
xz_007 [3.2K]

Answer:

D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=(14-1)=13\ years\\ P=\$250\\r=0.03

substitute in the formula above

A=\$250(1+0.03*13)

A=\$250(1.39)=\$347.50

8 0
3 years ago
Find the circumference of the circle and show work
zaharov [31]

        - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

                  Find the circumference of the circle and show work. [refer to  

                  attachment]

\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}

          Formula for Circumference of a Circle:-

        \dashrightarrow\star\bigstar\boxed{\boxed{C=2\pi r}}}

Where

  • C = circumference
  • π = pi (3.14…)
  • r = radius, which in this case is equal to 8

Substitute the value of r and solve:-

         C=2π(8)

        On simplification,

     

C=16π

On further simplification,

C=50.3

Therefore, we conclude that the circumference of this circle is

\dashrightarrow\star\bigstar\boxed{\boxed{\underline{\bold{C=50.3\:yd}}}}\bigstar\star\dashleftarrow

<h3>Good luck.</h3>

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

7 0
2 years ago
Read 2 more answers
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