Answers fast
Сверь числа и знаки с фото.
d four vertices, four faces and six edges e one curved face and two edges Can you name these shapes? 3 Here is a list of solid shapes. Tetrahedron Cone Sphere Cuboid Hexagonal prism Cube Square-based pyramid Cylinder a Which of these solids are polyhedra? b Which of these solids are regular polyhedra? 4 Hannah says these three statements. a “I have a shape with no vertices so it must be a sphere.” b “I have a pyramid with nine edges”. c “I know that in any prism the number of edges is always a multiple of 3. I have a shape with 6 edges so it must be a prism as 6 is a multiple of 3.” For each statement is Hannah correct? Explain why. 5 A pyramid has 14 edges. How many faces does it have? 6 A pyramid has six faces. a How many vertices does it have? b How many edges does it have? 7 Draw a sketch of a shape that has three faces, two edges and no vertices that is not a cylinder.
Here are the quick answers for the readable numbered questions on the right:
- d Tetrahedron (triangular pyramid). e Cylinder.
- 3a Tetrahedron, cuboid, hexagonal prism, cube, square-based pyramid.
3b Tetrahedron and cube. - 4a No. A cylinder also has no vertices, but it is not a sphere.
4b No. A pyramid with an \(n\)-sided base has \(2n\) edges, so the number of edges must be even; 9 is impossible.
4c She is not correct overall. The first sentence is true: a prism with an \(n\)-sided base has \(3n\) edges. But 6 edges does not force a prism—a tetrahedron has 6 edges. - 5 \(8\) faces.
\(2n=14\Rightarrow n=7\), so faces \(=n+1=8\). - 6a \(6\) vertices.
6b \(10\) edges.
Six faces means a pentagonal pyramid: \(n=5\), vertices \(=nOne valid answer for **7**: draw a **truncated cone** — a cone with its top cut off parallel to the base (a frustum). - \(3\) faces: two flat circles + one curved surface - \(2\) edges: the two circular rims
- \(0\) vertices
It is not a cylinder because the top and bottom circles are different sizes.
Обсуждение
9 сообщенийFaster
Another
Another
In short
Another answer for Q7: draw a cylinder with a hemispherical cap (bullet shape).
- 3 faces: flat base, curved side, rounded top
- 2 edges
- 0 vertices
It is not a cylinder because its top is rounded.
No do it all in short
d Tetrahedron
e Cylinder
3a Tetrahedron, cuboid, hexagonal prism, cube, square-based pyramid
3b Tetrahedron, cube
4a No — a cylinder also has no vertices.
4b No — a pyramid has \(2n\) edges, so 9 is impossible.
4c First part true: a prism has \(3n\) edges. But 6 edges does not mean prism — a tetrahedron has 6 edges.
5 \(2n=14\Rightarrow n=7\), so faces \(=n+1=8\).
6a 6 vertices
6b 10 edges
7 Sketch a truncated cone (cone with top cut off): 3 faces, 2 edges, 0 vertices, not a cylinder.
Draw a web page with a photo and information
Here’s a ready-to-use HTML page with a photo and information about 3D solids.
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>3D Solids</title>
<style>
* { box-sizing: border-box; }
body {
margin: 0;
font-family: Arial, sans-serif;
background: #f4f6f8;
color: #222;
}
header {
background: #1f4e79;
color: #fff;
padding: 24px;
text-align: center;
}
main {
max-width: 900px;
margin: 30px auto;
padding: 0 16px;
display: grid;
grid-template-columns: 1fr 1fr;
gap: 24px;
}
.photo img {
width: 100%;
height: 100%;
min-height: 300px;
object-fit: cover;
border-radius: 12px;
}
.info {
background: #fff;
padding: 24px;
border-radius: 12px;
box-shadow: 0 2px 8px rgba(0, 0, 0, 0.1);
}
h2 { margin-top: 0; }
@media (max-width: 700px) {
main { grid-template-columns: 1fr; }
}
</style>
</head>
<body>
<header>
<h1>3D Solids</h1>
</header>
<main>
<div class="photo">
<img src="photo.jpg" alt="A photo of 3D solids">
</div>
<section class="info">
<h2>What is a polyhedron?</h2>
<p>
A polyhedron is a 3D solid made of flat polygon faces.
</p>
<ul>
<li><strong>Faces</strong> — flat surfaces</li>
<li><strong>Edges</strong> — lines where faces meet</li>
<li><strong>Vertices</strong> — corners</li>
</ul>
<p>
A regular polyhedron has identical regular polygons as faces.
Examples include the tetrahedron, cube, octahedron,
dodecahedron and icosahedron.
</p>
</section>
</main>
</body>
</html>
Save it as index.html and put your photo in the same folder as photo.jpg. Replace the text with your own information if needed.
