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3 years ago

Which right triangular prism has the greatest volume?

Mathematics

2 answers:

Rasek [7]3 years ago

6 0

The last one is the answer

Serhud [2]3 years ago

4 0

Answer:

So Prism D has the greatest volume.

Step-by-step explanation:

Since volume of a triangular prism = A × h

where A = Area of base of prism

h = height

For prism (A) ⇒ Volume = ( 6 × 7 ) × 9

= 42 × 9 = 378m³

Prism (B) ⇒ Volume = ( 5 × 6 ) × 13

= 30 × 13 = 390m³

Prism (C) ⇒ Volume = ( 11 × 8 ) × 8

= 88 × 8 = 704m³

Prism (D) ⇒ Volume = ( 10 × 8 ) × 9

= 80 × 9 = 720m³

So prism D has the maximum volume.

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A small refrigerator is a cube with a side length of 12 inches use the formula S= 6s2 to find the surface area of the cube

Luda [366]

Answer:

Surface area of the refrigerator is 864 in².

Step-by-step explanation:

Formula to calculate the surface area of a cube is,

Surface area = 6s²

Here, s = length of a side of the cube

If side length 's' = 12 inches

By substituting this value in the formula,

Surface area = 6(12)²

= 6 × 144

= 864 inch²

Therefore, surface area of the refrigerator is 864 in².

6 0

3 years ago

SORRY! BUT ALL HELP IS REALLY APPRECIATED! AND WOULD LIKE IF YOU COULD HELP A GURL OUT THANKS

Korolek [52]

Answer:

b is the answer trust me i know

Step-by-step explanation:

6 0

3 years ago

Please help it's about Phythagorean Theorem! <br> I attached the image

storchak [24]

Pythagorean Theorem is:

c² = a² + b²

Let’s find the values of a and b.

Looking at the image provided in the question we have 2 number already, 70 and 120.

Let’s name the side with length 120 as a, and the side with length 70 as b.

Then we should substitute these values into the Pythagorean Theorem:

c² = 120² + 70²

c² = 14400 + 4900

c² = 19300

Then we should work out the value of c by square rooting both sides:

√c = √19300

c = 138.92444

Therefore the ball would have to be hit a total of 138.92444 units.

If you have to round, that would be 139 units.

8 0

3 years ago

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

coldgirl [10]

Changing the equation into slope form: $y = mx + c$ , where $m$ is the slope [gradient] and $c$ is the y-intercept.

$2x+3y=1470$
$3y = -2x+1470$
$y= - \frac{2}{3}x+ \frac{1470}{3}$
$y=- \frac{2}{3}x+490$

The gradient is $- \frac{2}{3}$ and y-intercept is at $y=490$

Graphing $y=- \frac{2}{3}x+490$ using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
   $0 = - \frac{2}{3}x+490$
   $\frac{2}{3}x = 490$
   $2x = 1470$
   $x = \frac{1470}{2}$
   $x = 735$
So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

-----------------------------------------------------------------------------------------------------------

Next month's profit equation

$2x+3y=1593$

Rewriting this into slope-equation form

$3y = -2x+1593$
$y=- \frac{2}{3}+ \frac{1593}{3}$
$y= - \frac{2}{3}+531$

The gradient, $m$ , equals to $- \frac{2}{3}$
The y-intercept, $c$ , equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept.

-------------------------------------------------------------------------------------------------------------

A linear graph show points of (0, 300) and (450, 0)

We work out the slope:
$\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30} =- \frac{2}{3}$

Y-intercept at x = 0, so it's at y = 300

Equation $y = - \frac{2}{3}+300$

6 0

3 years ago

The level of the liquid is<br>Cm3

AURORKA [14]

Answer:

it means it volume is 1 cm ³

5 0

3 years ago