All categories

4 years ago

Two-inch cubes are stacked as shown in the drawing. What is the total surface area?

2 answers:

5 0

Note: As you have not added the drawing. So, I assume the total number of two-inch cubes are stacked are FIVE. So, I will explain based on that assumption which anyways will clear your concept.

Answer:

The total surface are will be: $\boxed{120\:\:sq.in}$

Step-by-step explanation:

As we know that

A cube contains $6$ faces of equal area.

So, the total surface area of the cube is equal to $6$ multiplied by the area of one of the faces.

As the edge of the cube = 2 inches

So, the area of one of the faces is:

$2\times 2=4\:\:sq.in$

Thus, the total area of the cube is:

$6\times \:4=24\:\:sq.in$

Assuming there are total 5 cubes which are stacked, so the total surface are will:

$24\times 5=120\:\:sq.in$

Therefore, the total surface are will be: $\boxed{120\:\:sq.in}$

Alex73 [517]4 years ago

5 0

Answer:

The answer is D.) 120 sq.in

Step-by-step explanation:

Count the faces that show, multiply the faces by the area of each square. There area 30 sides/faces showing and the area of each square is 4, so 30 x 4 = 120 square inches.

You might be interested in

Devin has a collection of 40 model vehicles which consists of 25 different cars and 15 different trucks. He selects 8 to display

KiRa [710]

Answer:

The number of ways to select 3 cars and 5 trucks is 69,06,900.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!(n-k)!}$

It is provided that:

Number of different cars, n (C) = 25.

Number of different trucks, n (T) = 15.

Devin selects 8 vehicles to display on the shelf in his room.

Compute the number of ways in which he can select 3 cars from 25 different cars as follows:

${25\choose 3}=\frac{25!}{3!(25-3)!}=\frac{25\times24\times23\times22!}{3!\times22!}=2300$

There are 2300 ways to select 3 cars.

Compute the number of ways in which he can select 5 trucks from 25 different trucks as follows:

${15\choose 5}=\frac{15!}{5!(15-5)!}=\frac{15\times14\times13\times12\times 11\times10!}{5!\times10!}=3003$

There are 3003 ways to select 5 trucks.

Compute the total number of ways to select 3 cars and 5 trucks as follows:

n (3 cars and 5 trucks) = n (3 cars) × n (5 trucks)

$={25\choose 3}\times {15\choose 5}\\=2300\times 3003\\=6906900$

Thus, the total number of ways to select 3 cars and 5 trucks is 69,06,900.

7 0

3 years ago

Is it true or false??

Fed [463]

Answer:true

Step-by-step explanation:

It would be -6 which is less that -9

7 0

3 years ago

-10 + 5b = -35...I want to know the answer to this question pls...or else I will fail the 3rd quarter

Helen [10]

Answer:

-5

Step-by-step explanation:

-10+5b=-35

5b=-35-(-10)

5b=-35+10

5b=-25

b=-25/5

b=-5

7 0

3 years ago

Does anyone know the answer to this question

lys-0071 [83]

ANSWER

$\cos B = \frac{ \sqrt{3} }{3}$

EXPLANATION

The given triangle is a right triangle.

It was given that,

$a = 1$

and

$b = \sqrt{2}$

Using the Pythagoras Theorem, we can determine the value of c.

${c}^{2} = {( \sqrt{2} )}^{2} + {1}^{2}$

${c}^{2} = 2 + 1$

${c}^{2} = 3$

$c = \sqrt{3}$

The ratio is the adjacent over the hypotenuse.

$\cos B = \frac{1 }{ \sqrt{3} }$

We rationalize to get:

$\cos B = \frac{ \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } = \frac{ \sqrt{3} }{3}$

3 0

3 years ago

Find the area and perimeter of the rectangle Length = 5cm Breadth =2cm

avanturin [10]

Answer:

perimeter: 14

Area: 10

Step-by-step explanation:

PERIMETER

2x(L+B) = 2x(5+2) = 2x(7) = 14

AREA

LxB = 5x2 = 10

PLEASE MARK ME BRAINLIEST

5 0

3 years ago