7. If l is 27.5 inches long, what are the other dimensions of the box? Work/Explanation a. w = 15 in h = 10 in b. w = 11 in h = 15 in c. w = 33.5 in h = 11 in d. w = 23.5 in h = 15 in
Added by Laura G.
Close
Step 1
We know that the volume of a rectangular box is given by the formula: Volume = length × width × height We are given the length (l) of the box, which is 27.5 inches. We need to find the width (w) and height (h) of the box. Let's look at the given options: a. w = Show more…
Show all steps
Your feedback will help us improve your experience
Matthew Wagner and 85 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Diagonal of a box. The length of the diagonal of a box $D$ is a function of its length $L,$ width $W,$ and height $H:$ $$D=\left(L^{2}+W^{2}+H^{2}\right)^{1 / 2}$$ a) Find $D$ for the box shown in the accompanying figure. b) Find $D$ if $L=W=H=1$ inch.
Radicals and Rational Exponents
Rational Exponents
A box (with no top) is to be constructed from a piece of cardboard with sides of length $A$ and $B$ by cutting out squares of length h from the corners and folding up the sides (Figure 30). Find the value of $h$ that maximizes the volume of the box if $A=15$ and $B=24$. What are the dimensions of this box?
Applications of the Derivative
Applied Optimization
A rectangular box has dimensions of length $=6,$ width $=4,$ and height $=$ $5 .$ The measure of the angle formed by a diagonal of the box with the base of the box is (A) $27^{\circ}$ (B) $35^{\circ}$ (C) $40^{\circ}$ (D) $44^{\circ}$ (E) $55^{\circ}$
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD