Subjects geometry

Missing Dimension 721Eb4

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We have a right rectangular prism with two known dimensions: length $5$ cm and width $3$ cm. The volume is given as $75$ cubic centimeters. We need to find the missing dimension (height). 2. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 3. **Substitute known values:** $$75 = 5 \times 3 \times h$$ 4. **Simplify the multiplication:** $$75 = 15 \times h$$ 5. **Solve for $h$ by dividing both sides by 15:** $$h = \frac{75}{15}$$ 6. **Show cancellation:** $$h = \frac{\cancel{75}}{\cancel{15}} = 5$$ 7. **Final answer:** The missing dimension (height) is $5$ centimeters.
{ if (!re.test(node.nodeValue)) return; const frag = document.createDocumentFragment(); let lastIndex = 0; node.nodeValue.replace(re, (m, inner, idx) => { // text before ** if (idx > lastIndex) frag.append(document.createTextNode(node.nodeValue.slice(lastIndex, idx))); // bold span const strong = document.createElement('strong'); strong.textContent = inner; frag.append(strong); lastIndex = idx + m.length; }); // tail text if (lastIndex < node.nodeValue.length) { frag.append(document.createTextNode(node.nodeValue.slice(lastIndex))); } node.parentNode.replaceChild(frag, node); }); });