All categories

3 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 13 cm wide, and 12 cm tall?

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

3 0

Longest segment will be a diagonal of the prism d= √(a^2+b^2+c^2)= √(14^2+13^2+12^2)=√(509) approx = 22.56 cm

You might be interested in

What is the area of the trapezoid?

Maslowich

<h3>Given Information :</h3>

Length of parallel sides = 60 ft and 40 ft
Height of the trapezoid = 30 ft

<h3>To calculate :</h3>

Area of the trapezoid.

<h3>Calculation :</h3>

As we know that,

$\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\$

a and b are length of parallel sides.
h denotes height.

Substituting values, we get :

$\longmapsto$ Area = $\sf \dfrac{1}{2}$ × ( 60 + 40 ) × 30 ft $\sf ^2$

$\longmapsto$ Area = $\sf \dfrac{1}{2}$ × 100 × 30 ft $\sf ^2$

$\longmapsto$ Area = 1 × 100 × 15 ft $\sf ^2$

$\longmapsto$ Area = 100 × 15 ft $\sf ^2$

$\longmapsto$ Area = 1500 ft $\sf ^2$

Therefore,

Area of the trapezoid is 1500 ft $\sf ^2$

6 0

3 years ago

can someone help me figure this out, There are 16 ounces in one pound. A box of nails weighs 4 pounds. How many ounces does the

Alla [95]

The box weighs 64 ounces

4 0

4 years ago

Read 2 more answers

What does the 1/4 mean

ValentinkaMS [17]

1/4=0.25
You mean that dear~

8 0

3 years ago

SOMEONE HELP ASAP PLEASE. Answers and links that have nothing to do with the question will be reported.

Serhud [2]

Answer:

$\frac{1}{15}$

Step-by-step explanation:

There are 2 yellow marbles, 3 pink marbles, and 5 blue marbles in the bag, for a total of 10 marbles.

Let's start with the probability that the first marble drawn is pink. Since there are 3 pink marbles out of the 10 total marbles, the probability of this happening is $3/10$ .

Since the first marble is not put back in the bag, there are now 9 marbles left, 2 of then being pink. The chances of drawing a pink marble now is $2/9$ . To find the chances of both of these events happening, multiply them together to get:

$\frac{3}{10}\cdot \frac{2}{9}=\frac{6}{90}=\boxed{\frac{1}{15}}$

5 0

3 years ago

Find x in this equation. Answer in the form of dollars and cents, such as $ 45.50 or $112.25.

IrinaVladis [17]

(1 1/2 × $8.40)×7 = x
($12.60)×7 = x
$88.50 = x
Therefore, x = $88.50

8 0

4 years ago