10. Q10
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Similar Question 1
<p>A trapezoidal box is made with depth <code class='latex inline'>x cm</code>, height one cm less than the depth, parallel sides <code class='latex inline'>2 cm</code> less and <code class='latex inline'>3 cm</code> less than the depth . Determine the minimum dimensions of the trapezoidal box to create a volume of at least <code class='latex inline'>675 cm^3</code>.</p>
Similar Question 2
<p>Open-top boxes are constructed by cutting equal squares from the corners of cardboard sheets that measure 32 cm by 28 cm. Determine possible dimensions of the boxes if it has a volume of 1920 <code class='latex inline'>cm^3</code></p>
Similar Question 3
<p>A cone is made with height 2 cm more than the radius. Determine the minimum dimensions of the cone to crate a volume of at least <code class='latex inline'>297 \pi</code> $<code>cm^3$</code>. </p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>A cone is made with height 2 cm more than the radius. Determine the minimum dimensions of the cone to crate a volume of at least <code class='latex inline'>297 \pi</code> $<code>cm^3$</code>. </p>
<p>A parallelepiped (box with each side a parallelogram) is to be made with depth <code class='latex inline'>x</code> cm, height <code class='latex inline'>4</code> cm more than the depth and base 5 cm more than the depth. Determine the minimum dimensions of the parallelepiped to create a volume of at least <code class='latex inline'>1638</code> <code class='latex inline'>cm^3</code>.</p>
<p>The width of a square based storage tank is 3 m less than its height. The tank has a capacity of <code class='latex inline'>20 m^3</code>. If the dimensions are integer values in metres, what are they?</p>
<p>A cylinder is made with radius 1 cm less than the height. Determine the minimum dimensions of the cylinder to create a volume of at least <code class='latex inline'>150 \pi cm^3</code>.</p>
<p>A trapezoidal box is made with depth <code class='latex inline'>x cm</code>, height one cm less than the depth, parallel sides <code class='latex inline'>2 cm</code> less and <code class='latex inline'>3 cm</code> less than the depth . Determine the minimum dimensions of the trapezoidal box to create a volume of at least <code class='latex inline'>675 cm^3</code>.</p>
<p>A triangular prism is to be made with depth <code class='latex inline'>x</code> cm, height 3 cm less than the depth and base 2 cm more than the height. Determine the minimum dimensions of the triangular prism to create a volume of at least <code class='latex inline'>6 cm^3</code>.</p>
<p>A silo is a cylinder with a hemisphere on top. If the height of the cylinder is 15 m and the volume of the silo is <code class='latex inline'>684\pi m^3</code>, find the radius.</p>
<p>The passenger section of a train has width <code class='latex inline'>2x - 7</code>, length <code class='latex inline'>2x +3</code>, and height <code class='latex inline'>x - 2</code>, with all dimensions in metres. Solve a polynomial equation to determine the dimensions of the section of the train if the volume is <code class='latex inline'>117 m^3.</code></p>
<p>An open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20 cm by 30 cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of <code class='latex inline'>1008</code> <code class='latex inline'>cm^3</code>.</p><img src="/qimages/428" />
<p>Open-top boxes are constructed by cutting equal squares from the corners of cardboard sheets that measure 32 cm by 28 cm. Determine possible dimensions of the boxes if it has a volume of 1920 <code class='latex inline'>cm^3</code></p>
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