The volume of a rectangular prism is given by the multiplication of its three dimensions: if $w, h, l$ are the width, height and length of the prism, the volume is

$V = w\cdot h\cdot l$

So, in your case, you have

$V = \dfrac{3}{8} \cdot \dfrac{5}{8} \cdot \dfrac{7}{8} = \dfrac{3\cdot 5 \cdot 7}{8\cdot 8 \cdot 8} = \dfrac{105}{512}$

4 0

3 years ago

Solve 30 = −5(6n + 6), justifying each step with an algebraic property.

Liula [17]

1) property of distribution: 30 = -30n - 30
2) inverse property of addition: 60 = -30n
3) inverse property of multiplication: -2 = n

step 2: subtract 30 from both sides
step 3: divide -30 from both sides

7 0

3 years ago

Answer The Factorial (17-12)

Kamila [148]

(17-12) is equal to 5

8 0

2 years ago

What is the result of isolating y2 in the equation below?

lyudmila [28]

STEP-BY-STEP SOLUTION:

( x + 4 )^2 + y^2 = 22

x^2 + 2 × x × 4 + 4^2 + y^2 = 22

x^2 + 8x + 16 + y^2 = 22

y^2 = 22 - x^2 - 8x - 16

y^2 = - x^2 - 8x + 6

FINAL ANSWER:

Therefore, the answer is:

D. y^2 = - x^2 - 8x + 6

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Thank you <3

6 0

3 years ago