Question 3

Mathematics

1 answer:

Triss [41]3 years ago

8 0

Answer: $h=3.1\ m$

Step-by-step explanation:

The missing figure is attached.

For this exercise it is important to remember that the volume of a rectangular prism can be calculated using the following formula:

$V=lwh$

Where "V" is the volume, "l" is the length, "w" is the width and "h" is the height of the rectangular prism.

In this case, as you can identify in the figure attached, the length and the width of this rectangular prism are:

$l=18\ m\\\\w=6\ m$

And you already know that:

$V=334.8\ m^3$

Therefore, knowing those values, you can substitute them into the formula and then solve for "h" in order to find its value.

This is:

$334.8\ m^3=(18\ m)(6\ m)h\\\\\frac{334.8\ m^3}{108\ m^2}=h\\\\h=3.1\ m$

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Marco has drawn a line to represent the perpendicular cross-section of the triangular prism. Is he correct? Explain. triangular

evablogger [386]

Answer:

The correct option is;

Yes, the line should be perpendicular to one of the rectangular faces

Step-by-step explanation:

The given information are;

A triangular prism lying on a rectangular base and a line drawn along the slant height

A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces

Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).