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3 years ago

Can someone please help me I really need help please help me thank you

Mathematics

2 answers:

Natalija [7]3 years ago

6 0

Hey there! :)

Answer:

SA = 144 cm².

Step-by-step explanation:

Find the surface area by calculating the areas of each of the lateral sides and bases:

In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:

Bases:

A = 1/2(bh)

A = 1/2(4·3)

A = 1/2(12)

A = 6 cm².

There are two bases, so:

6 × 2 = 12 cm²

Find the areas of the lateral sides using A = l × w:

5 × 11 = 55 cm²

4 × 11 = 44 cm²

3 × 11 = 33 cm²

Add up all of the areas:

12 + 55 + 44 + 33 = 144 cm².

Contact [7]3 years ago

6 0

Answer:

144 cm^2

Step-by-step explanation:

So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)

A = (4)(3) ÷ 2

A of triangle = 6

Since there are 2 triangles, you need to multiply the area by 2, which equals 12.

To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)

For the first rectangle,

A = 11 x 5

A = 55

For the second rectangle,

A = 4 x 11

A = 44

For the third rectangle,

A = 3 x 11

A = 33

Now, you need to add the areas of the triangles and rectangles together to get your surface area.

12 + 55 + 44 + 33 = 144cm^2

So, the surface area of the triangular prism is 144 cm^2.

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22. Find the perimeter and area.

zmey [24]

Answer:

Part 22) The area is $A=15a^3b^6\ units^2($ and the perimeter is $P=10a^2b^4+6ab^2\ unit$

Part 24) The area is $A=16m^3n\ units^2$ and the perimeter is $P=24mn\ units$

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Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

$A=LW$

we have

$L=5(a^2)(b^4)\ units$

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Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

$A=(5(a^2)(b^4))(3(a)(b^2))$

$A=15a^3b^6\ units^2$

step 2

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

substitute in the formula

$P=2(5(a^2)(b^4)+3(a)(b^2))$

$P=10a^2b^4+6ab^2\ unit$

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

$A=\frac{1}{2}bh$

where

$b=8mn\ units$

$h=4m^2\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

$A=\frac{1}{2}(8mn)(4m^2)$

$A=16m^3n\ units^2$

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

$P=3b$

where

$b=8mn\ units$

substitute

$P=3(8mn)$

$P=24mn\ units$

Part 26) Find the area

The area of a circle is equal to

$A=\pi r^{2}$

where

$r=3x^3y\ units$

Remember the property

$(a^{m})^{n}=a^{m*n}$

substitute in the formula the given value

$A=\pi (3x^3y)^{2}$

$A=9\pi x^6y^{2}\ units^2$

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