1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vredina [299]
2 years ago
6

The unit cube is divided into identical rectangular prisms. What is the volume of one of the identical prisms?

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
4 0

Answer:

Volume of one prism; (1/16) unit³

Step-by-step explanation:

The given volume of the cube, v₁ = 1 unit cube

The height of the unit cube, h₁ = 1 unit

The length of the unit cube, w₁ = 1 unit

The height of the unit cube, l₁ = 1 unit

The number of identical prism located along the height = 2 identical prism

The number of identical prism located along the width = 2 identical prism

The number of identical prisms located along the length = 4 identical prism

Therefore;

The height of each identical rectangular prism that make up the unit cube, h₂ = h₁/2 = 1/2 unit

Similarly, for each identical rectangular prism, we have;

The width, w₂ = w₁/2 = 1/2 unit

The length, l₂ = l₁/4 = 1/4 unit

The volume of each one of the identical rectangular prism, v₂ = h₂ × w₂ × l₂

∴ v₂ = 1/2 unit × 1/2 unit × 1/4 unit = 1/16 unit³

The volume of one of the identical rectangular prisms = (1/16) unit³.

You might be interested in
The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following l
Katena32 [7]
This is in gradient intercept form (or slope intercept form)
y = mx + b
in this case y = -1.2x + 26
so m (the slope) = -1.2
and the y intercept = 26
I'm not sure what intercept they're asking for.
if you wanted to find the x intercept, just substitute.
y = 0 and find x.
8 0
2 years ago
Please help for brainliest !!
Sunny_sXe [5.5K]

Answer:

i do bellieve it is c

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the
djyliett [7]

Answer:

Option (3)

Step-by-step explanation:

If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.

(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)

                              = -2x³ + x² + 9x + 12x² - 6x - 54

                              = -2x³ + 13x² + 3x - 54

Therefore, Option (3) will be the correct option.

8 0
3 years ago
Use the quadratic formula to solve 2x^2 + 2x - 12?
Firdavs [7]

Answer:

Step-by-step explanation:

(x+2)(x-3)

8 0
3 years ago
Read 2 more answers
Z-8-22<br> z equals what
nikdorinn [45]

Answer:

z=30

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Jennifer is a car saleswoman. She is paid a salary of $2000 per month plus $500 for each car that she sells. Her salary can be m
    12·1 answer
  • What units would you use to measure the distance from the high school to your house?
    12·1 answer
  • The function g(x) = 2^x. the function f(x) = 2^x+k and k&lt; 0. which of the following statements is true.
    7·2 answers
  • A restaurant has 10 stools at the counter and several tables with 4 chairs each. If n represents the number of tables, which equ
    14·2 answers
  • What is the answer for -1x+5=1/2x+2
    15·1 answer
  • NEED HELP QUCKILY PLZ HURRY
    8·2 answers
  • Just help me. just want a percentage. plsss
    7·1 answer
  • At Albertson's, peaches sell for $1 each and mangos for $0.50 each. Blanca has $9 to spend and must buy at least 13 peaches and
    7·1 answer
  • Help I dunno what this is I need someone to walk me through it and give me the answer.
    8·2 answers
  • At 7-11, I get my change from a Slurpee in all nickels and pennies. If I get $0.87 in change, and a total of 31 coins, how many
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!