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nekit [7.7K]
3 years ago
14

Please help the diagram shows a cube and a cuboid

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

2197 cm³

Step-by-step explanation:

surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014

surface area of cube = 6 * x²   .... x: side length of cube

6x² = 1014

x² = 169

x = 13

volume of cube = x³ = 13³ = 2197 cm³

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Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
Misha Larkins [42]

Question:

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.

A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent.

C.Each pair of supplementary angles is congruent.

D.Each pair of alternate interior angles is congruent.

<u>Answer</u>:

The following statements are true

A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent

D.Each pair of alternate interior angles is congruent.

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

When straight lines intersect, vertical angles appear.

Vertical angles are ALWAYS equal in measure,

whether the lines are parallel or not.They  share the same Vertex

Two angles, one in the interior and one in the exterior, that are on the same side of the traversal are Known as Corresponding angles. Corresponding angles are non-adjacent and congruent.

Alternate interior angles are two angles in the interior of the parallel lines, and on opposite (alternate) sides of the transversal. Alternate interior angles are non-adjacent and congruent.

7 0
3 years ago
How many 3/4 cup servings are in a 6 cup container milk?
ExtremeBDS [4]

Answer:

There are 8 3/4-cup servings.

Step-by-step explanation:

What we know:

There is a 6-cup container of milk.

What we don't know:

How many 3/4-cup servings are there?

What we should do:

Divide 6 by 3/4.

6 / 3/4

This is the same as 6 times 4/3.

6 * 4/3

24/3

There are 8 3/4-cup servings in a 6-cup container of milk.

8 0
3 years ago
What is the relation of vertically opposite angle​
SVETLANKA909090 [29]

Answer:

A pair of vertically opposite angles are always equal to each other.

7 0
3 years ago
Read 2 more answers
A candle maker uses a mold to make candles like
Mashutka [201]

Answer: 340 cm3  

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:  

Circumference = 2π radius

Replacing with the circumference value and solving for r:

31.416 =2π r

31.416 /2π =r

5cm =r

And then:

Volume of a cone = 1/3 x π x radius^2 x height  

Replacing with the values given:  

V = 1/3 π (5)^2 (13) = 340 cm3  

Feel free to ask for more if needed or if you did not understand something.  

4 0
4 years ago
Witch whole number is equivalent to 8/2
slega [8]
4 is the whole number that is equivalent to 8/2
5 0
4 years ago
Read 2 more answers
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