All categories

3 years ago

What is the surface area of this rectangular prism? 5 ft 4 ft 12 ft

Mathematics

2 answers:

givi [52]3 years ago

5 0

Answer:

256 ft²

Step-by-step explanation:

$SA=2(lw+lh+wh)$ where l is length and w is width and h is height

Plug in the given information

$SA=2(5*4+5*12+4*12)\\SA=2(20+60+48)\\SA=2(80+48)\\SA=2(128)\\SA=2(128)\\SA=256$

Therefore, the surface area of the rectangular prism is 256 ft².

I hope this helps!

Serggg [28]3 years ago

5 0

Answer:

<h2>Solution :-</h2>

We know that

SA = 2(lw + wh + lh)

SA = 2[(5 × 4) + (4 × 12) + (5 × 12)]

SA = 2[20 + 48 + 60]

SA = 2[128]

SA = 256 ft²

$\\$

You might be interested in

Calculate the length of the circumference of a circle with radius of 2.8cm

kykrilka [37]

Hello. D= 2×r D=2×2,8 D=5,6cm. Circumference= $\pi$ × D ; C= 3,14×5,6 C=17,584cm. I hope to have helped you.

6 0

3 years ago

Read 2 more answers

Surface area of the prism

Trava [24]

length = 12 yd

width = 10 yd

height = 12 yd

diagonal = 19.697715603592 yd

total surface area = 768 yd2

lateral surface area = 528 yd2

bottom surface area = 120 yd2

volume = 1440 yd3

6 0

2 years ago

Read 2 more answers

Find the general term of sequence defined by these conditions.

disa [49]

Answer:

$\displaystyle a_{n} = (2)^{2n -1} - (3) ^{n-1 }$

Step-by-step explanation:

we want to figure out the general term of the following recurrence relation

$\displaystyle \rm a_{n + 2} - 7a_{n + 1} + 12a_n = 0 \: \: where : \: \:a_1 = 1 \: ,a_2 = 5,$

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e

${x}^{n} = c_{1} {x}^{n - 1} + c_{2} {x}^{n - 2} + c_{3} {x}^{n -3 } { \dots} + c_{k} {x}^{n - k}$

the steps for solving a linear homogeneous recurrence relation are as follows:

Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
Solve the polynomial by factoring or the quadratic formula.
Determine the form for each solution: distinct roots, repeated roots, or complex roots.
Use initial conditions to find coefficients using systems of equations or matrices.

Step-1:Create the characteristic equation

${x}^{2} - 7x+ 12= 0$

Step-2:Solve the polynomial by factoring

factor the quadratic:

$( {x}^{} - 4)(x - 3) = 0$

solve for x:

$x = \rm 4 \:and \: 3$

Step-3:Determine the form for each solution

since we've two distinct roots,we'd utilize the following formula:

$\displaystyle a_{n} = c_{1} {x} _{1} ^{n } + c_{2} {x} _{2} ^{n }$

so substitute the roots we got:

$\displaystyle a_{n} = c_{1} (4)^{n } + c_{2} (3) ^{n }$

Step-4:Use initial conditions to find coefficients using systems of equations

create the system of equation:

$\begin{cases}\displaystyle 4c_{1} +3 c_{2} = 1 \\ 16c_{1} + 9c_{2} = 5\end{cases}$

solve the system of equation which yields:

$\displaystyle c_{1} = \frac{1}{2} \\ c_{2} = - \frac{1}{3}$

finally substitute:

$\displaystyle a_{n} = \frac{1}{2} (4)^{n } - \frac{1}{3} (3) ^{n }$

$\displaystyle \boxed{ a_{n} = (2)^{2n-1 } - (3) ^{n -1}}$

and we're done!

7 0

3 years ago

In the early months of some year one site added 0.2 million new accounts everyday. At this rate, how many days would be needed t

WITCHER [35]

60 days, I think. Sixty times zero point two is twelve.

3 0

3 years ago

Help meee will give brainly! Find the domain of the function f(x)=5x−9 . DONT SAY I DONT KNOW

Agata [3.3K]

Answer and Step-by-step explanation:

$\frac{5}{x-9}$

The domain is all real numbers except 9 (positive)

This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.

#teamtrees #WAP (Water And Plant)

7 0

2 years ago