Question

true or false? the height of a cylinder is the distance between the bases. false true 8 multiple choice 0.25 points true or false? a box has 6 faces. false true 9 formula 0.5 points find the surface area of a box that has a length of 14.9 cm, a width of 7 cm, and a height of 13.5 cm. round your answer to the nearest hundredth, but do not include \cm²\ with your response. answer

Explanation:

Step1: Recall cylinder height definition

The height of a cylinder is indeed the perpendicular distance between its two parallel bases. So the first statement is True.

Step2: Recall box - face property

A box (rectangular prism) has 6 faces: 2 bases and 4 lateral faces. So the second statement is True.

Step3: Recall surface - area formula for a box

The surface - area formula of a rectangular prism (box) is $SA = 2(lw+lh + wh)$, where $l$ is length, $w$ is width, and $h$ is height.
Given $l = 14.9$ cm, $w = 7$ cm, and $h = 13.5$ cm.
First, calculate $lw$: $lw=14.9\times7 = 104.3$.
Then, calculate $lh$: $lh = 14.9\times13.5=201.15$.
Next, calculate $wh$: $wh=7\times13.5 = 94.5$.
Then, find $lw+lh + wh$: $104.3+201.15 + 94.5=399.95$.
Finally, find the surface area $SA$: $SA = 2\times399.95=799.9$.

Answer:

True
True
799.90